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

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


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

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

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

Reorder the terms:
-3 + -8 + 3x + 8x = x + -1

Combine like terms: -3 + -8 = -11
-11 + 3x + 8x = x + -1

Combine like terms: 3x + 8x = 11x
-11 + 11x = x + -1

Reorder the terms:
-11 + 11x = -1 + x

Solving
-11 + 11x = -1 + 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.
-11 + 11x + -1x = -1 + x + -1x

Combine like terms: 11x + -1x = 10x
-11 + 10x = -1 + x + -1x

Combine like terms: x + -1x = 0
-11 + 10x = -1 + 0
-11 + 10x = -1

Add '11' to each side of the equation.
-11 + 11 + 10x = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 10x = -1 + 11
10x = -1 + 11

Combine like terms: -1 + 11 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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