3x-4(2x-3)=18-8x

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Solution for 3x-4(2x-3)=18-8x equation:


Simplifying
3x + -4(2x + -3) = 18 + -8x

Reorder the terms:
3x + -4(-3 + 2x) = 18 + -8x
3x + (-3 * -4 + 2x * -4) = 18 + -8x
3x + (12 + -8x) = 18 + -8x

Reorder the terms:
12 + 3x + -8x = 18 + -8x

Combine like terms: 3x + -8x = -5x
12 + -5x = 18 + -8x

Solving
12 + -5x = 18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + -5x + 8x = 18 + -8x + 8x

Combine like terms: -5x + 8x = 3x
12 + 3x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 3x = 18 + 0
12 + 3x = 18

Add '-12' to each side of the equation.
12 + -12 + 3x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 18 + -12
3x = 18 + -12

Combine like terms: 18 + -12 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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