4(x-2)+2x=3(x-1)-11

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Solution for 4(x-2)+2x=3(x-1)-11 equation:


Simplifying
4(x + -2) + 2x = 3(x + -1) + -11

Reorder the terms:
4(-2 + x) + 2x = 3(x + -1) + -11
(-2 * 4 + x * 4) + 2x = 3(x + -1) + -11
(-8 + 4x) + 2x = 3(x + -1) + -11

Combine like terms: 4x + 2x = 6x
-8 + 6x = 3(x + -1) + -11

Reorder the terms:
-8 + 6x = 3(-1 + x) + -11
-8 + 6x = (-1 * 3 + x * 3) + -11
-8 + 6x = (-3 + 3x) + -11

Reorder the terms:
-8 + 6x = -3 + -11 + 3x

Combine like terms: -3 + -11 = -14
-8 + 6x = -14 + 3x

Solving
-8 + 6x = -14 + 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.
-8 + 6x + -3x = -14 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-8 + 3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 3x = -14 + 0
-8 + 3x = -14

Add '8' to each side of the equation.
-8 + 8 + 3x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -14 + 8
3x = -14 + 8

Combine like terms: -14 + 8 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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