2(x+12)+4(x+24)=30

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Solution for 2(x+12)+4(x+24)=30 equation: 


Simplifying
2(x + 12) + 4(x + 24) = 30

Reorder the terms:
2(12 + x) + 4(x + 24) = 30
(12 * 2 + x * 2) + 4(x + 24) = 30
(24 + 2x) + 4(x + 24) = 30

Reorder the terms:
24 + 2x + 4(24 + x) = 30
24 + 2x + (24 * 4 + x * 4) = 30
24 + 2x + (96 + 4x) = 30

Reorder the terms:
24 + 96 + 2x + 4x = 30

Combine like terms: 24 + 96 = 120
120 + 2x + 4x = 30

Combine like terms: 2x + 4x = 6x
120 + 6x = 30

Solving
120 + 6x = 30

Solving for variable 'x'.

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

Add '-120' to each side of the equation.
120 + -120 + 6x = 30 + -120

Combine like terms: 120 + -120 = 0
0 + 6x = 30 + -120
6x = 30 + -120

Combine like terms: 30 + -120 = -90
6x = -90

Divide each side by '6'.
x = -15

Simplifying
x = -15

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