9(x+4)-5x+7=8x+71

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Solution for 9(x+4)-5x+7=8x+71 equation:


Simplifying
9(x + 4) + -5x + 7 = 8x + 71

Reorder the terms:
9(4 + x) + -5x + 7 = 8x + 71
(4 * 9 + x * 9) + -5x + 7 = 8x + 71
(36 + 9x) + -5x + 7 = 8x + 71

Reorder the terms:
36 + 7 + 9x + -5x = 8x + 71

Combine like terms: 36 + 7 = 43
43 + 9x + -5x = 8x + 71

Combine like terms: 9x + -5x = 4x
43 + 4x = 8x + 71

Reorder the terms:
43 + 4x = 71 + 8x

Solving
43 + 4x = 71 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
43 + 4x + -8x = 71 + 8x + -8x

Combine like terms: 4x + -8x = -4x
43 + -4x = 71 + 8x + -8x

Combine like terms: 8x + -8x = 0
43 + -4x = 71 + 0
43 + -4x = 71

Add '-43' to each side of the equation.
43 + -43 + -4x = 71 + -43

Combine like terms: 43 + -43 = 0
0 + -4x = 71 + -43
-4x = 71 + -43

Combine like terms: 71 + -43 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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