2x+7(-x+17)=79

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Solution for 2x+7(-x+17)=79 equation:


Simplifying
2x + 7(-1x + 17) = 79

Reorder the terms:
2x + 7(17 + -1x) = 79
2x + (17 * 7 + -1x * 7) = 79
2x + (119 + -7x) = 79

Reorder the terms:
119 + 2x + -7x = 79

Combine like terms: 2x + -7x = -5x
119 + -5x = 79

Solving
119 + -5x = 79

Solving for variable 'x'.

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

Add '-119' to each side of the equation.
119 + -119 + -5x = 79 + -119

Combine like terms: 119 + -119 = 0
0 + -5x = 79 + -119
-5x = 79 + -119

Combine like terms: 79 + -119 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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