5x-2(3x-2)=-2x+6

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Solution for 5x-2(3x-2)=-2x+6 equation:


Simplifying
5x + -2(3x + -2) = -2x + 6

Reorder the terms:
5x + -2(-2 + 3x) = -2x + 6
5x + (-2 * -2 + 3x * -2) = -2x + 6
5x + (4 + -6x) = -2x + 6

Reorder the terms:
4 + 5x + -6x = -2x + 6

Combine like terms: 5x + -6x = -1x
4 + -1x = -2x + 6

Reorder the terms:
4 + -1x = 6 + -2x

Solving
4 + -1x = 6 + -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.
4 + -1x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
4 + 1x = 6 + 0
4 + 1x = 6

Add '-4' to each side of the equation.
4 + -4 + 1x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 6 + -4
1x = 6 + -4

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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