12x+13+3(3x-7)=2(9x+7)

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Solution for 12x+13+3(3x-7)=2(9x+7) equation:


Simplifying
12x + 13 + 3(3x + -7) = 2(9x + 7)

Reorder the terms:
12x + 13 + 3(-7 + 3x) = 2(9x + 7)
12x + 13 + (-7 * 3 + 3x * 3) = 2(9x + 7)
12x + 13 + (-21 + 9x) = 2(9x + 7)

Reorder the terms:
13 + -21 + 12x + 9x = 2(9x + 7)

Combine like terms: 13 + -21 = -8
-8 + 12x + 9x = 2(9x + 7)

Combine like terms: 12x + 9x = 21x
-8 + 21x = 2(9x + 7)

Reorder the terms:
-8 + 21x = 2(7 + 9x)
-8 + 21x = (7 * 2 + 9x * 2)
-8 + 21x = (14 + 18x)

Solving
-8 + 21x = 14 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-8 + 21x + -18x = 14 + 18x + -18x

Combine like terms: 21x + -18x = 3x
-8 + 3x = 14 + 18x + -18x

Combine like terms: 18x + -18x = 0
-8 + 3x = 14 + 0
-8 + 3x = 14

Add '8' to each side of the equation.
-8 + 8 + 3x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 14 + 8
3x = 14 + 8

Combine like terms: 14 + 8 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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