3(5x+7)=2(7x-2)-12

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Solution for 3(5x+7)=2(7x-2)-12 equation: 


Simplifying
3(5x + 7) = 2(7x + -2) + -12

Reorder the terms:
3(7 + 5x) = 2(7x + -2) + -12
(7 * 3 + 5x * 3) = 2(7x + -2) + -12
(21 + 15x) = 2(7x + -2) + -12

Reorder the terms:
21 + 15x = 2(-2 + 7x) + -12
21 + 15x = (-2 * 2 + 7x * 2) + -12
21 + 15x = (-4 + 14x) + -12

Reorder the terms:
21 + 15x = -4 + -12 + 14x

Combine like terms: -4 + -12 = -16
21 + 15x = -16 + 14x

Solving
21 + 15x = -16 + 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.
21 + 15x + -14x = -16 + 14x + -14x

Combine like terms: 15x + -14x = 1x
21 + 1x = -16 + 14x + -14x

Combine like terms: 14x + -14x = 0
21 + 1x = -16 + 0
21 + 1x = -16

Add '-21' to each side of the equation.
21 + -21 + 1x = -16 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -16 + -21
1x = -16 + -21

Combine like terms: -16 + -21 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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