9(x+1)-(4x-7)=8

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Solution for 9(x+1)-(4x-7)=8 equation: 


Simplifying
9(x + 1) + -1(4x + -7) = 8

Reorder the terms:
9(1 + x) + -1(4x + -7) = 8
(1 * 9 + x * 9) + -1(4x + -7) = 8
(9 + 9x) + -1(4x + -7) = 8

Reorder the terms:
9 + 9x + -1(-7 + 4x) = 8
9 + 9x + (-7 * -1 + 4x * -1) = 8
9 + 9x + (7 + -4x) = 8

Reorder the terms:
9 + 7 + 9x + -4x = 8

Combine like terms: 9 + 7 = 16
16 + 9x + -4x = 8

Combine like terms: 9x + -4x = 5x
16 + 5x = 8

Solving
16 + 5x = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + 5x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 8 + -16
5x = 8 + -16

Combine like terms: 8 + -16 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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