8x-3(x-4)=3x-6

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


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

Reorder the terms:
8x + -3(-4 + x) = 3x + -6
8x + (-4 * -3 + x * -3) = 3x + -6
8x + (12 + -3x) = 3x + -6

Reorder the terms:
12 + 8x + -3x = 3x + -6

Combine like terms: 8x + -3x = 5x
12 + 5x = 3x + -6

Reorder the terms:
12 + 5x = -6 + 3x

Solving
12 + 5x = -6 + 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.
12 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
12 + 2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 2x = -6 + 0
12 + 2x = -6

Add '-12' to each side of the equation.
12 + -12 + 2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -6 + -12
2x = -6 + -12

Combine like terms: -6 + -12 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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