5(x-2)+2=5x-2(2-x)

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


Simplifying
5(x + -2) + 2 = 5x + -2(2 + -1x)

Reorder the terms:
5(-2 + x) + 2 = 5x + -2(2 + -1x)
(-2 * 5 + x * 5) + 2 = 5x + -2(2 + -1x)
(-10 + 5x) + 2 = 5x + -2(2 + -1x)

Reorder the terms:
-10 + 2 + 5x = 5x + -2(2 + -1x)

Combine like terms: -10 + 2 = -8
-8 + 5x = 5x + -2(2 + -1x)
-8 + 5x = 5x + (2 * -2 + -1x * -2)
-8 + 5x = 5x + (-4 + 2x)

Reorder the terms:
-8 + 5x = -4 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-8 + 5x = -4 + 7x

Solving
-8 + 5x = -4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 5x + -7x = -4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-8 + -2x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -2x = -4 + 0
-8 + -2x = -4

Add '8' to each side of the equation.
-8 + 8 + -2x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -4 + 8
-2x = -4 + 8

Combine like terms: -4 + 8 = 4
-2x = 4

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

Simplifying
x = -2

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