2(2x-1)=x-7

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


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

Reorder the terms:
2(-1 + 2x) = x + -7
(-1 * 2 + 2x * 2) = x + -7
(-2 + 4x) = x + -7

Reorder the terms:
-2 + 4x = -7 + x

Solving
-2 + 4x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 4x + -1x = -7 + x + -1x

Combine like terms: 4x + -1x = 3x
-2 + 3x = -7 + x + -1x

Combine like terms: x + -1x = 0
-2 + 3x = -7 + 0
-2 + 3x = -7

Add '2' to each side of the equation.
-2 + 2 + 3x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -7 + 2
3x = -7 + 2

Combine like terms: -7 + 2 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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