3(4x+12)-2(x+3)=10(x+3)+4(x+4)

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Solution for 3(4x+12)-2(x+3)=10(x+3)+4(x+4) equation: 


Simplifying
3(4x + 12) + -2(x + 3) = 10(x + 3) + 4(x + 4)

Reorder the terms:
3(12 + 4x) + -2(x + 3) = 10(x + 3) + 4(x + 4)
(12 * 3 + 4x * 3) + -2(x + 3) = 10(x + 3) + 4(x + 4)
(36 + 12x) + -2(x + 3) = 10(x + 3) + 4(x + 4)

Reorder the terms:
36 + 12x + -2(3 + x) = 10(x + 3) + 4(x + 4)
36 + 12x + (3 * -2 + x * -2) = 10(x + 3) + 4(x + 4)
36 + 12x + (-6 + -2x) = 10(x + 3) + 4(x + 4)

Reorder the terms:
36 + -6 + 12x + -2x = 10(x + 3) + 4(x + 4)

Combine like terms: 36 + -6 = 30
30 + 12x + -2x = 10(x + 3) + 4(x + 4)

Combine like terms: 12x + -2x = 10x
30 + 10x = 10(x + 3) + 4(x + 4)

Reorder the terms:
30 + 10x = 10(3 + x) + 4(x + 4)
30 + 10x = (3 * 10 + x * 10) + 4(x + 4)
30 + 10x = (30 + 10x) + 4(x + 4)

Reorder the terms:
30 + 10x = 30 + 10x + 4(4 + x)
30 + 10x = 30 + 10x + (4 * 4 + x * 4)
30 + 10x = 30 + 10x + (16 + 4x)

Reorder the terms:
30 + 10x = 30 + 16 + 10x + 4x

Combine like terms: 30 + 16 = 46
30 + 10x = 46 + 10x + 4x

Combine like terms: 10x + 4x = 14x
30 + 10x = 46 + 14x

Solving
30 + 10x = 46 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
30 + 10x + -14x = 46 + 14x + -14x

Combine like terms: 10x + -14x = -4x
30 + -4x = 46 + 14x + -14x

Combine like terms: 14x + -14x = 0
30 + -4x = 46 + 0
30 + -4x = 46

Add '-30' to each side of the equation.
30 + -30 + -4x = 46 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 46 + -30
-4x = 46 + -30

Combine like terms: 46 + -30 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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