(3x+6)-(-6x-7)=4(3x+7)

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Solution for (3x+6)-(-6x-7)=4(3x+7) equation:


Simplifying
(3x + 6) + -1(-6x + -7) = 4(3x + 7)

Reorder the terms:
(6 + 3x) + -1(-6x + -7) = 4(3x + 7)

Remove parenthesis around (6 + 3x)
6 + 3x + -1(-6x + -7) = 4(3x + 7)

Reorder the terms:
6 + 3x + -1(-7 + -6x) = 4(3x + 7)
6 + 3x + (-7 * -1 + -6x * -1) = 4(3x + 7)
6 + 3x + (7 + 6x) = 4(3x + 7)

Reorder the terms:
6 + 7 + 3x + 6x = 4(3x + 7)

Combine like terms: 6 + 7 = 13
13 + 3x + 6x = 4(3x + 7)

Combine like terms: 3x + 6x = 9x
13 + 9x = 4(3x + 7)

Reorder the terms:
13 + 9x = 4(7 + 3x)
13 + 9x = (7 * 4 + 3x * 4)
13 + 9x = (28 + 12x)

Solving
13 + 9x = 28 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
13 + 9x + -12x = 28 + 12x + -12x

Combine like terms: 9x + -12x = -3x
13 + -3x = 28 + 12x + -12x

Combine like terms: 12x + -12x = 0
13 + -3x = 28 + 0
13 + -3x = 28

Add '-13' to each side of the equation.
13 + -13 + -3x = 28 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 28 + -13
-3x = 28 + -13

Combine like terms: 28 + -13 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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