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

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


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

Reorder the terms:
-6(-4 + x) = -3x + 6
(-4 * -6 + x * -6) = -3x + 6
(24 + -6x) = -3x + 6

Reorder the terms:
24 + -6x = 6 + -3x

Solving
24 + -6x = 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.
24 + -6x + 3x = 6 + -3x + 3x

Combine like terms: -6x + 3x = -3x
24 + -3x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
24 + -3x = 6 + 0
24 + -3x = 6

Add '-24' to each side of the equation.
24 + -24 + -3x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 6 + -24
-3x = 6 + -24

Combine like terms: 6 + -24 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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