2(4x+6)+2(8x-30)=12x+72

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Solution for 2(4x+6)+2(8x-30)=12x+72 equation:


Simplifying
2(4x + 6) + 2(8x + -30) = 12x + 72

Reorder the terms:
2(6 + 4x) + 2(8x + -30) = 12x + 72
(6 * 2 + 4x * 2) + 2(8x + -30) = 12x + 72
(12 + 8x) + 2(8x + -30) = 12x + 72

Reorder the terms:
12 + 8x + 2(-30 + 8x) = 12x + 72
12 + 8x + (-30 * 2 + 8x * 2) = 12x + 72
12 + 8x + (-60 + 16x) = 12x + 72

Reorder the terms:
12 + -60 + 8x + 16x = 12x + 72

Combine like terms: 12 + -60 = -48
-48 + 8x + 16x = 12x + 72

Combine like terms: 8x + 16x = 24x
-48 + 24x = 12x + 72

Reorder the terms:
-48 + 24x = 72 + 12x

Solving
-48 + 24x = 72 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-48 + 24x + -12x = 72 + 12x + -12x

Combine like terms: 24x + -12x = 12x
-48 + 12x = 72 + 12x + -12x

Combine like terms: 12x + -12x = 0
-48 + 12x = 72 + 0
-48 + 12x = 72

Add '48' to each side of the equation.
-48 + 48 + 12x = 72 + 48

Combine like terms: -48 + 48 = 0
0 + 12x = 72 + 48
12x = 72 + 48

Combine like terms: 72 + 48 = 120
12x = 120

Divide each side by '12'.
x = 10

Simplifying
x = 10

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