7+6(2x-1)=-2(2x-2)+x

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Solution for 7+6(2x-1)=-2(2x-2)+x equation:


Simplifying
7 + 6(2x + -1) = -2(2x + -2) + x

Reorder the terms:
7 + 6(-1 + 2x) = -2(2x + -2) + x
7 + (-1 * 6 + 2x * 6) = -2(2x + -2) + x
7 + (-6 + 12x) = -2(2x + -2) + x

Combine like terms: 7 + -6 = 1
1 + 12x = -2(2x + -2) + x

Reorder the terms:
1 + 12x = -2(-2 + 2x) + x
1 + 12x = (-2 * -2 + 2x * -2) + x
1 + 12x = (4 + -4x) + x

Combine like terms: -4x + x = -3x
1 + 12x = 4 + -3x

Solving
1 + 12x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 12x + 3x = 4 + -3x + 3x

Combine like terms: 12x + 3x = 15x
1 + 15x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 15x = 4 + 0
1 + 15x = 4

Add '-1' to each side of the equation.
1 + -1 + 15x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 15x = 4 + -1
15x = 4 + -1

Combine like terms: 4 + -1 = 3
15x = 3

Divide each side by '15'.
x = 0.2

Simplifying
x = 0.2

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