-169=7x-5(-x+17)

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Solution for -169=7x-5(-x+17) equation:


Simplifying
-169 = 7x + -5(-1x + 17)

Reorder the terms:
-169 = 7x + -5(17 + -1x)
-169 = 7x + (17 * -5 + -1x * -5)
-169 = 7x + (-85 + 5x)

Reorder the terms:
-169 = -85 + 7x + 5x

Combine like terms: 7x + 5x = 12x
-169 = -85 + 12x

Solving
-169 = -85 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-169 + -12x = -85 + 12x + -12x

Combine like terms: 12x + -12x = 0
-169 + -12x = -85 + 0
-169 + -12x = -85

Add '169' to each side of the equation.
-169 + 169 + -12x = -85 + 169

Combine like terms: -169 + 169 = 0
0 + -12x = -85 + 169
-12x = -85 + 169

Combine like terms: -85 + 169 = 84
-12x = 84

Divide each side by '-12'.
x = -7

Simplifying
x = -7

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