-4(x-3)+5(2x-6)=180

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Solution for -4(x-3)+5(2x-6)=180 equation:


Simplifying
-4(x + -3) + 5(2x + -6) = 180

Reorder the terms:
-4(-3 + x) + 5(2x + -6) = 180
(-3 * -4 + x * -4) + 5(2x + -6) = 180
(12 + -4x) + 5(2x + -6) = 180

Reorder the terms:
12 + -4x + 5(-6 + 2x) = 180
12 + -4x + (-6 * 5 + 2x * 5) = 180
12 + -4x + (-30 + 10x) = 180

Reorder the terms:
12 + -30 + -4x + 10x = 180

Combine like terms: 12 + -30 = -18
-18 + -4x + 10x = 180

Combine like terms: -4x + 10x = 6x
-18 + 6x = 180

Solving
-18 + 6x = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 6x = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 180 + 18
6x = 180 + 18

Combine like terms: 180 + 18 = 198
6x = 198

Divide each side by '6'.
x = 33

Simplifying
x = 33

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