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

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


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

Reorder the terms:
5(-2 + x) = 10(2 + -1x)
(-2 * 5 + x * 5) = 10(2 + -1x)
(-10 + 5x) = 10(2 + -1x)
-10 + 5x = (2 * 10 + -1x * 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 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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