2(x-7)=-10(-x-1)

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Solution for 2(x-7)=-10(-x-1) equation:


Simplifying
2(x + -7) = -10(-1x + -1)

Reorder the terms:
2(-7 + x) = -10(-1x + -1)
(-7 * 2 + x * 2) = -10(-1x + -1)
(-14 + 2x) = -10(-1x + -1)

Reorder the terms:
-14 + 2x = -10(-1 + -1x)
-14 + 2x = (-1 * -10 + -1x * -10)
-14 + 2x = (10 + 10x)

Solving
-14 + 2x = 10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-14 + 2x + -10x = 10 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-14 + -8x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + -8x = 10 + 0
-14 + -8x = 10

Add '14' to each side of the equation.
-14 + 14 + -8x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -8x = 10 + 14
-8x = 10 + 14

Combine like terms: 10 + 14 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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