4x-3(x-2)=66-2x

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Solution for 4x-3(x-2)=66-2x equation:


Simplifying
4x + -3(x + -2) = 66 + -2x

Reorder the terms:
4x + -3(-2 + x) = 66 + -2x
4x + (-2 * -3 + x * -3) = 66 + -2x
4x + (6 + -3x) = 66 + -2x

Reorder the terms:
6 + 4x + -3x = 66 + -2x

Combine like terms: 4x + -3x = 1x
6 + 1x = 66 + -2x

Solving
6 + 1x = 66 + -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 + 1x + 2x = 66 + -2x + 2x

Combine like terms: 1x + 2x = 3x
6 + 3x = 66 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 3x = 66 + 0
6 + 3x = 66

Add '-6' to each side of the equation.
6 + -6 + 3x = 66 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 66 + -6
3x = 66 + -6

Combine like terms: 66 + -6 = 60
3x = 60

Divide each side by '3'.
x = 20

Simplifying
x = 20

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