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

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


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

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

Reorder the terms:
10 + -5x = 10(2 + x)
10 + -5x = (2 * 10 + x * 10)
10 + -5x = (20 + 10x)

Solving
10 + -5x = 20 + 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.
10 + -5x + -10x = 20 + 10x + -10x

Combine like terms: -5x + -10x = -15x
10 + -15x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -15x = 20 + 0
10 + -15x = 20

Add '-10' to each side of the equation.
10 + -10 + -15x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + -15x = 20 + -10
-15x = 20 + -10

Combine like terms: 20 + -10 = 10
-15x = 10

Divide each side by '-15'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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