-2x+2=5(x+3)-20

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Solution for -2x+2=5(x+3)-20 equation:


Simplifying
-2x + 2 = 5(x + 3) + -20

Reorder the terms:
2 + -2x = 5(x + 3) + -20

Reorder the terms:
2 + -2x = 5(3 + x) + -20
2 + -2x = (3 * 5 + x * 5) + -20
2 + -2x = (15 + 5x) + -20

Reorder the terms:
2 + -2x = 15 + -20 + 5x

Combine like terms: 15 + -20 = -5
2 + -2x = -5 + 5x

Solving
2 + -2x = -5 + 5x

Solving for variable 'x'.

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -7x = -5 + -2

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

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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