2x + 5 = 9x – 16?

21 = 7x
x = 3

2x + 5 = 9x - 16
7x = 21
x = 3

Answer: x = 3

Proof (equality of the equation):
2(3) + 5 = 9(3) - 16
6 + 5 = 27 - 16
11 = 11

I won't do it for you, but I will tell you how to do it.

Combine 'like' terms.
Get 'x' on one side.
Get 'x' alone
Simplify if necessary.
Done

once you attempt to sparkling up a accepted-degree equation with one unknown variable you will desire to save on with this physique of strategies: one million. pass the (x-words) to a minimum of one facet and the (consistent words) to the different facet. shifting words from one facet to a diverse in an equation skill which you upload the negation of that cost to the two factors of the equation. So in our case, 2x + 5 = 9x - sixteen we prefer to head 9x from the right facet to the left facet. So we upload -(9x) to the the two factors to be sure that the equation nevertheless holds actual (on the grounds that including comparable cost to the two factors will save it balanced) 2x + 5 - 9x = 9x - sixteen - 9x, simplify to get: 2x + 5 - 9x = -sixteen word here how 9x - 9x cancel on the right a speedy thank you to think of of it incredibly is to think of which you progression it from one facet to a diverse yet you regulate the "sign". Now we could pass 5 to the right facet: 2x - 9x = -sixteen - 5 2. once you're performed shifting all words, integrate them: 2x - 9x = -sixteen - 5 -7x = -21 3. Now to get the cost of x, you will would desire to get rid of the coefficient this is subsequently (-7) to try this, you will would desire to multiply the equation by skill of its reciprocal this is (one million/(-7)). (-one million/7) * (-7x) = (-one million/7) * (-21) once you multiply a cost by skill of its reciprocal you will get one million, so: x = 21/7 x = 3 , it incredibly is the answer of your equation. yet another occasion is: (one million/4)x + 3 = -5 + (3/4)x shifting (3/4)x to left and 3 to suitable: (one million/4)x - (3/4)x = -5 - 3 Combining words: (-2/4)x = -8 Multiplying by skill of (-4/2): (-4/2) * (-2/4)x = (-4/2) * (-8) x = 32/2 x = sixteen

2x + 5 = 9x - 16

5 + 16 = 9x - 2x ( Variable in the one side )

21 = 7x ( Adding in LHS and Subtracting from RHS )

21 / 7 = x ( Dividing LHS )

3 = x ( Answer )

Therefore, x = 3




Solution of x is 3

Solving for x:

2x - 9x = -16 - 5
-7x= -21 (divide both sides by negative 7)

x=3

...

=3

3

Move all the x to one side and the the 16 and 5 to the other.
7x=21. Then divide by 7 on both sides. so you get x=3

2x + 5 = 9x - 16
2x - 9x = -5 - 16
-7x = -21
x = -21/-7
x = 3