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 = -5x
10 + -5x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -5x = -20 + 0
10 + -5x = -20

Add '-10' to each side of the equation.
10 + -10 + -5x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -20 + -10
-5x = -20 + -10

Combine like terms: -20 + -10 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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