7x-3(x-2)=2(2-x)

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Solution for 7x-3(x-2)=2(2-x) equation:


Simplifying
7x + -3(x + -2) = 2(2 + -1x)

Reorder the terms:
7x + -3(-2 + x) = 2(2 + -1x)
7x + (-2 * -3 + x * -3) = 2(2 + -1x)
7x + (6 + -3x) = 2(2 + -1x)

Reorder the terms:
6 + 7x + -3x = 2(2 + -1x)

Combine like terms: 7x + -3x = 4x
6 + 4x = 2(2 + -1x)
6 + 4x = (2 * 2 + -1x * 2)
6 + 4x = (4 + -2x)

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

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

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

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

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

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

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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