what is the answer to.9x-2=4(x+3)?

Okay! ^-^ Explanation Provided!

[The first thing to do is to use the distributive property on the right sides of the equal sign, where you multiply the 4 to the x and 3, like this]

.9x - 2 = 4(x + 3) {Rewritten equation}
.9x - 2 = 4x + 12 {Distributive Property is used}

[Okay, all we have to do now is to subtract .9x, like this]

.9x - 2 = 4x + 12 {Picking up from previous simplification}
-2 = 3.1x + 12 {Subtract .9x from both sides}
-14 = 3.1x {Divide 3.1 by both sides}
-4.52 = x {Solved} ^-^

Yay! ^-^ We solved it! The answer is rounded to the nearest hundredth, by the way.

9x - 2 = 4(x + 3)
9x - 2 = 4x + 12
5x = 14
x = 14/5 or 2 4/5 or 2.8.

9 x - 2 = 4 x + 12

5 x = 14

x = 14 / 5

9x-2=4(x+3) Distribute the 4

9x-2=4x+12 Subtract the 4x from 4x then to 9x to the other side the 4x cancels.

5x-2=12 Add 2 to 12

5x=14 devide 5 to both sides

x= 14/5

.9x-2=4x+12
-3.1x=14
x=-14/3.1

Okay,


.9x-2=4x+12. Subtract 12 to each side, .9x-14 = 4x

Subtract .9x from both sides: -14 = 3.1x, Divide each side by 3.1

-14/3.1 = -4.51 (rounded)

9x-2 = 4x +12
5x = 14
x = 14/5

Or, depending on what your question is asking:
0.9x - 2 = 4x + 12
0.9x = 4x +14
-3.1x = 14
x = -14/3.1

0.9x - 2 = 4 (x + 3)

0.9x - 2 = 4x + 12

0.9x = 4x +14

-3.1x = 14

x = 14/-3.1

x = -4.516129