10x-20=5(x-2)

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Solution for 10x-20=5(x-2) equation:


Simplifying
10x + -20 = 5(x + -2)

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

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

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

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

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

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

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

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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