3(x+7)+2x=4x-12

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Solution for 3(x+7)+2x=4x-12 equation:


Simplifying
3(x + 7) + 2x = 4x + -12

Reorder the terms:
3(7 + x) + 2x = 4x + -12
(7 * 3 + x * 3) + 2x = 4x + -12
(21 + 3x) + 2x = 4x + -12

Combine like terms: 3x + 2x = 5x
21 + 5x = 4x + -12

Reorder the terms:
21 + 5x = -12 + 4x

Solving
21 + 5x = -12 + 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.
21 + 5x + -4x = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
21 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 1x = -12 + 0
21 + 1x = -12

Add '-21' to each side of the equation.
21 + -21 + 1x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -12 + -21
1x = -12 + -21

Combine like terms: -12 + -21 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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