-5x-5(2-x)=2(x-7)

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


Simplifying
-5x + -5(2 + -1x) = 2(x + -7)
-5x + (2 * -5 + -1x * -5) = 2(x + -7)
-5x + (-10 + 5x) = 2(x + -7)

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

Combine like terms: -5x + 5x = 0
-10 + 0 = 2(x + -7)
-10 = 2(x + -7)

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

Solving
-10 = -14 + 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.
-10 + -2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -2x = -14 + 0
-10 + -2x = -14

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

Combine like terms: -10 + 10 = 0
0 + -2x = -14 + 10
-2x = -14 + 10

Combine like terms: -14 + 10 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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