Please solve this for me?

(3/4)x - 2 = (1/8)x - 7
(3/4 - 1/8)x = -7 + 2
(5/8)x = -5
5x = -40
x = -8

-8

You must get algebraic equations with appropriate symbols from the given statements:
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Let N be the number

( 3/4 ) ( N ) - 2 = ( 1/8 ) ( N ) - 7

Multiply both sides by 8 and get :

6N - 16 = N - 56

6N - N = - 56 + 16

5N = - 40

N = ( - 40 ) / ( 5 ) = - 8 <----------------------------

Always check your answer :
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( 3/4 ) ( N ) - 2 ?=? ( 1/8 ) ( N ) - 7

( 3/4 ) ( -8 ) -2 ?=? ( 1/8 )( -8 ) - 7

-6 -2 ?=? -1 - 7

-8 = - 8 ---------> [ OK! ]

Please award Best Answer to the most correct and most helpful response to your question.

(3/4)n - 2 = (1/8)n - 7
(5/8)n = - 5
n = -8

(3/4)x-2 = (1/8)x-7 | x(3/4-1/8) = -5 x (5/8) = -5... x = -8. Checking: (3/4)(-8)-2 = -8 | (1/8)*(-8)-7 = -8