5-(8x-8)=9(x-7)-5

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


Simplifying
5 + -1(8x + -8) = 9(x + -7) + -5

Reorder the terms:
5 + -1(-8 + 8x) = 9(x + -7) + -5
5 + (-8 * -1 + 8x * -1) = 9(x + -7) + -5
5 + (8 + -8x) = 9(x + -7) + -5

Combine like terms: 5 + 8 = 13
13 + -8x = 9(x + -7) + -5

Reorder the terms:
13 + -8x = 9(-7 + x) + -5
13 + -8x = (-7 * 9 + x * 9) + -5
13 + -8x = (-63 + 9x) + -5

Reorder the terms:
13 + -8x = -63 + -5 + 9x

Combine like terms: -63 + -5 = -68
13 + -8x = -68 + 9x

Solving
13 + -8x = -68 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
13 + -8x + -9x = -68 + 9x + -9x

Combine like terms: -8x + -9x = -17x
13 + -17x = -68 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -17x = -68 + 0
13 + -17x = -68

Add '-13' to each side of the equation.
13 + -13 + -17x = -68 + -13

Combine like terms: 13 + -13 = 0
0 + -17x = -68 + -13
-17x = -68 + -13

Combine like terms: -68 + -13 = -81
-17x = -81

Divide each side by '-17'.
x = 4.764705882

Simplifying
x = 4.764705882

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