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

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


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

Reorder the terms:
-2(-6 + x) = 3x + -8(x + -3)
(-6 * -2 + x * -2) = 3x + -8(x + -3)
(12 + -2x) = 3x + -8(x + -3)

Reorder the terms:
12 + -2x = 3x + -8(-3 + x)
12 + -2x = 3x + (-3 * -8 + x * -8)
12 + -2x = 3x + (24 + -8x)

Reorder the terms:
12 + -2x = 24 + 3x + -8x

Combine like terms: 3x + -8x = -5x
12 + -2x = 24 + -5x

Solving
12 + -2x = 24 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
12 + -2x + 5x = 24 + -5x + 5x

Combine like terms: -2x + 5x = 3x
12 + 3x = 24 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 3x = 24 + 0
12 + 3x = 24

Add '-12' to each side of the equation.
12 + -12 + 3x = 24 + -12

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

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

Divide each side by '3'.
x = 4

Simplifying
x = 4

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