3(5x+14)=-39x-12

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Solution for 3(5x+14)=-39x-12 equation:


Simplifying
3(5x + 14) = -39x + -12

Reorder the terms:
3(14 + 5x) = -39x + -12
(14 * 3 + 5x * 3) = -39x + -12
(42 + 15x) = -39x + -12

Reorder the terms:
42 + 15x = -12 + -39x

Solving
42 + 15x = -12 + -39x

Solving for variable 'x'.

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

Add '39x' to each side of the equation.
42 + 15x + 39x = -12 + -39x + 39x

Combine like terms: 15x + 39x = 54x
42 + 54x = -12 + -39x + 39x

Combine like terms: -39x + 39x = 0
42 + 54x = -12 + 0
42 + 54x = -12

Add '-42' to each side of the equation.
42 + -42 + 54x = -12 + -42

Combine like terms: 42 + -42 = 0
0 + 54x = -12 + -42
54x = -12 + -42

Combine like terms: -12 + -42 = -54
54x = -54

Divide each side by '54'.
x = -1

Simplifying
x = -1

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