-5(x-10)=2(x-7)+8

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Solution for -5(x-10)=2(x-7)+8 equation: 


Simplifying
-5(x + -10) = 2(x + -7) + 8

Reorder the terms:
-5(-10 + x) = 2(x + -7) + 8
(-10 * -5 + x * -5) = 2(x + -7) + 8
(50 + -5x) = 2(x + -7) + 8

Reorder the terms:
50 + -5x = 2(-7 + x) + 8
50 + -5x = (-7 * 2 + x * 2) + 8
50 + -5x = (-14 + 2x) + 8

Reorder the terms:
50 + -5x = -14 + 8 + 2x

Combine like terms: -14 + 8 = -6
50 + -5x = -6 + 2x

Solving
50 + -5x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
50 + -5x + -2x = -6 + 2x + -2x

Combine like terms: -5x + -2x = -7x
50 + -7x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
50 + -7x = -6 + 0
50 + -7x = -6

Add '-50' to each side of the equation.
50 + -50 + -7x = -6 + -50

Combine like terms: 50 + -50 = 0
0 + -7x = -6 + -50
-7x = -6 + -50

Combine like terms: -6 + -50 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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