3(x-1)+4(1-2x)=8-6x

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Solution for 3(x-1)+4(1-2x)=8-6x equation: 


Simplifying
3(x + -1) + 4(1 + -2x) = 8 + -6x

Reorder the terms:
3(-1 + x) + 4(1 + -2x) = 8 + -6x
(-1 * 3 + x * 3) + 4(1 + -2x) = 8 + -6x
(-3 + 3x) + 4(1 + -2x) = 8 + -6x
-3 + 3x + (1 * 4 + -2x * 4) = 8 + -6x
-3 + 3x + (4 + -8x) = 8 + -6x

Reorder the terms:
-3 + 4 + 3x + -8x = 8 + -6x

Combine like terms: -3 + 4 = 1
1 + 3x + -8x = 8 + -6x

Combine like terms: 3x + -8x = -5x
1 + -5x = 8 + -6x

Solving
1 + -5x = 8 + -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.
1 + -5x + 6x = 8 + -6x + 6x

Combine like terms: -5x + 6x = 1x
1 + 1x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 1x = 8 + 0
1 + 1x = 8

Add '-1' to each side of the equation.
1 + -1 + 1x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 8 + -1
1x = 8 + -1

Combine like terms: 8 + -1 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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