7-2(3x-4)=5x-18

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Solution for 7-2(3x-4)=5x-18 equation:


Simplifying
7 + -2(3x + -4) = 5x + -18

Reorder the terms:
7 + -2(-4 + 3x) = 5x + -18
7 + (-4 * -2 + 3x * -2) = 5x + -18
7 + (8 + -6x) = 5x + -18

Combine like terms: 7 + 8 = 15
15 + -6x = 5x + -18

Reorder the terms:
15 + -6x = -18 + 5x

Solving
15 + -6x = -18 + 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.
15 + -6x + -5x = -18 + 5x + -5x

Combine like terms: -6x + -5x = -11x
15 + -11x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -11x = -18 + 0
15 + -11x = -18

Add '-15' to each side of the equation.
15 + -15 + -11x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = -18 + -15
-11x = -18 + -15

Combine like terms: -18 + -15 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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