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

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


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

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

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

Reorder the terms:
8 + -2x = 3(-4 + x)
8 + -2x = (-4 * 3 + x * 3)
8 + -2x = (-12 + 3x)

Solving
8 + -2x = -12 + 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 + -2x + -3x = -12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = -12 + 0
8 + -5x = -12

Add '-8' to each side of the equation.
8 + -8 + -5x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -12 + -8
-5x = -12 + -8

Combine like terms: -12 + -8 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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