5x-2(4x-6)=5(3x-6)-18

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Solution for 5x-2(4x-6)=5(3x-6)-18 equation:


Simplifying
5x + -2(4x + -6) = 5(3x + -6) + -18

Reorder the terms:
5x + -2(-6 + 4x) = 5(3x + -6) + -18
5x + (-6 * -2 + 4x * -2) = 5(3x + -6) + -18
5x + (12 + -8x) = 5(3x + -6) + -18

Reorder the terms:
12 + 5x + -8x = 5(3x + -6) + -18

Combine like terms: 5x + -8x = -3x
12 + -3x = 5(3x + -6) + -18

Reorder the terms:
12 + -3x = 5(-6 + 3x) + -18
12 + -3x = (-6 * 5 + 3x * 5) + -18
12 + -3x = (-30 + 15x) + -18

Reorder the terms:
12 + -3x = -30 + -18 + 15x

Combine like terms: -30 + -18 = -48
12 + -3x = -48 + 15x

Solving
12 + -3x = -48 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
12 + -3x + -15x = -48 + 15x + -15x

Combine like terms: -3x + -15x = -18x
12 + -18x = -48 + 15x + -15x

Combine like terms: 15x + -15x = 0
12 + -18x = -48 + 0
12 + -18x = -48

Add '-12' to each side of the equation.
12 + -12 + -18x = -48 + -12

Combine like terms: 12 + -12 = 0
0 + -18x = -48 + -12
-18x = -48 + -12

Combine like terms: -48 + -12 = -60
-18x = -60

Divide each side by '-18'.
x = 3.333333333

Simplifying
x = 3.333333333

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