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

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


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

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