6(2-3x)=-3(x-8)

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


Simplifying
6(2 + -3x) = -3(x + -8)
(2 * 6 + -3x * 6) = -3(x + -8)
(12 + -18x) = -3(x + -8)

Reorder the terms:
12 + -18x = -3(-8 + x)
12 + -18x = (-8 * -3 + x * -3)
12 + -18x = (24 + -3x)

Solving
12 + -18x = 24 + -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 + -18x + 3x = 24 + -3x + 3x

Combine like terms: -18x + 3x = -15x
12 + -15x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -15x = 24 + 0
12 + -15x = 24

Add '-12' to each side of the equation.
12 + -12 + -15x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -15x = 24 + -12
-15x = 24 + -12

Combine like terms: 24 + -12 = 12
-15x = 12

Divide each side by '-15'.
x = -0.8

Simplifying
x = -0.8

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