5x-3(x-2)=20-2x

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Solution for 5x-3(x-2)=20-2x equation:


Simplifying
5x + -3(x + -2) = 20 + -2x

Reorder the terms:
5x + -3(-2 + x) = 20 + -2x
5x + (-2 * -3 + x * -3) = 20 + -2x
5x + (6 + -3x) = 20 + -2x

Reorder the terms:
6 + 5x + -3x = 20 + -2x

Combine like terms: 5x + -3x = 2x
6 + 2x = 20 + -2x

Solving
6 + 2x = 20 + -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.
6 + 2x + 2x = 20 + -2x + 2x

Combine like terms: 2x + 2x = 4x
6 + 4x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 4x = 20 + 0
6 + 4x = 20

Add '-6' to each side of the equation.
6 + -6 + 4x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 20 + -6
4x = 20 + -6

Combine like terms: 20 + -6 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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