4(x-1)-2x=-6(x-1)+14

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Solution for 4(x-1)-2x=-6(x-1)+14 equation:


Simplifying
4(x + -1) + -2x = -6(x + -1) + 14

Reorder the terms:
4(-1 + x) + -2x = -6(x + -1) + 14
(-1 * 4 + x * 4) + -2x = -6(x + -1) + 14
(-4 + 4x) + -2x = -6(x + -1) + 14

Combine like terms: 4x + -2x = 2x
-4 + 2x = -6(x + -1) + 14

Reorder the terms:
-4 + 2x = -6(-1 + x) + 14
-4 + 2x = (-1 * -6 + x * -6) + 14
-4 + 2x = (6 + -6x) + 14

Reorder the terms:
-4 + 2x = 6 + 14 + -6x

Combine like terms: 6 + 14 = 20
-4 + 2x = 20 + -6x

Solving
-4 + 2x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + 2x + 6x = 20 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-4 + 8x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 8x = 20 + 0
-4 + 8x = 20

Add '4' to each side of the equation.
-4 + 4 + 8x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 20 + 4
8x = 20 + 4

Combine like terms: 20 + 4 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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