4(x-3)-2x=4(x-1)

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Solution for 4(x-3)-2x=4(x-1) equation:


Simplifying
4(x + -3) + -2x = 4(x + -1)

Reorder the terms:
4(-3 + x) + -2x = 4(x + -1)
(-3 * 4 + x * 4) + -2x = 4(x + -1)
(-12 + 4x) + -2x = 4(x + -1)

Combine like terms: 4x + -2x = 2x
-12 + 2x = 4(x + -1)

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

Solving
-12 + 2x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 2x + -4x = -4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-12 + -2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -2x = -4 + 0
-12 + -2x = -4

Add '12' to each side of the equation.
-12 + 12 + -2x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -4 + 12
-2x = -4 + 12

Combine like terms: -4 + 12 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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