12(3x+5)-6(2x-3)=4x-62

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Solution for 12(3x+5)-6(2x-3)=4x-62 equation:


Simplifying
12(3x + 5) + -6(2x + -3) = 4x + -62

Reorder the terms:
12(5 + 3x) + -6(2x + -3) = 4x + -62
(5 * 12 + 3x * 12) + -6(2x + -3) = 4x + -62
(60 + 36x) + -6(2x + -3) = 4x + -62

Reorder the terms:
60 + 36x + -6(-3 + 2x) = 4x + -62
60 + 36x + (-3 * -6 + 2x * -6) = 4x + -62
60 + 36x + (18 + -12x) = 4x + -62

Reorder the terms:
60 + 18 + 36x + -12x = 4x + -62

Combine like terms: 60 + 18 = 78
78 + 36x + -12x = 4x + -62

Combine like terms: 36x + -12x = 24x
78 + 24x = 4x + -62

Reorder the terms:
78 + 24x = -62 + 4x

Solving
78 + 24x = -62 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
78 + 24x + -4x = -62 + 4x + -4x

Combine like terms: 24x + -4x = 20x
78 + 20x = -62 + 4x + -4x

Combine like terms: 4x + -4x = 0
78 + 20x = -62 + 0
78 + 20x = -62

Add '-78' to each side of the equation.
78 + -78 + 20x = -62 + -78

Combine like terms: 78 + -78 = 0
0 + 20x = -62 + -78
20x = -62 + -78

Combine like terms: -62 + -78 = -140
20x = -140

Divide each side by '20'.
x = -7

Simplifying
x = -7

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