3x-10=2(20-x)

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Solution for 3x-10=2(20-x) equation:


Simplifying
3x + -10 = 2(20 + -1x)

Reorder the terms:
-10 + 3x = 2(20 + -1x)
-10 + 3x = (20 * 2 + -1x * 2)
-10 + 3x = (40 + -2x)

Solving
-10 + 3x = 40 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-10 + 3x + 2x = 40 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-10 + 5x = 40 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 5x = 40 + 0
-10 + 5x = 40

Add '10' to each side of the equation.
-10 + 10 + 5x = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 40 + 10
5x = 40 + 10

Combine like terms: 40 + 10 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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