4(x-1)-4=2x-6

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Solution for 4(x-1)-4=2x-6 equation:


Simplifying
4(x + -1) + -4 = 2x + -6

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

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

Combine like terms: -4 + -4 = -8
-8 + 4x = 2x + -6

Reorder the terms:
-8 + 4x = -6 + 2x

Solving
-8 + 4x = -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.
-8 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-8 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 2x = -6 + 0
-8 + 2x = -6

Add '8' to each side of the equation.
-8 + 8 + 2x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -6 + 8
2x = -6 + 8

Combine like terms: -6 + 8 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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