-72=4(1-3x)+2(x-3)

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Solution for -72=4(1-3x)+2(x-3) equation:


Simplifying
-72 = 4(1 + -3x) + 2(x + -3)
-72 = (1 * 4 + -3x * 4) + 2(x + -3)
-72 = (4 + -12x) + 2(x + -3)

Reorder the terms:
-72 = 4 + -12x + 2(-3 + x)
-72 = 4 + -12x + (-3 * 2 + x * 2)
-72 = 4 + -12x + (-6 + 2x)

Reorder the terms:
-72 = 4 + -6 + -12x + 2x

Combine like terms: 4 + -6 = -2
-72 = -2 + -12x + 2x

Combine like terms: -12x + 2x = -10x
-72 = -2 + -10x

Solving
-72 = -2 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-72 + 10x = -2 + -10x + 10x

Combine like terms: -10x + 10x = 0
-72 + 10x = -2 + 0
-72 + 10x = -2

Add '72' to each side of the equation.
-72 + 72 + 10x = -2 + 72

Combine like terms: -72 + 72 = 0
0 + 10x = -2 + 72
10x = -2 + 72

Combine like terms: -2 + 72 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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