6(2x+1)+7=7(3x+2)+8

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Solution for 6(2x+1)+7=7(3x+2)+8 equation: 


Simplifying
6(2x + 1) + 7 = 7(3x + 2) + 8

Reorder the terms:
6(1 + 2x) + 7 = 7(3x + 2) + 8
(1 * 6 + 2x * 6) + 7 = 7(3x + 2) + 8
(6 + 12x) + 7 = 7(3x + 2) + 8

Reorder the terms:
6 + 7 + 12x = 7(3x + 2) + 8

Combine like terms: 6 + 7 = 13
13 + 12x = 7(3x + 2) + 8

Reorder the terms:
13 + 12x = 7(2 + 3x) + 8
13 + 12x = (2 * 7 + 3x * 7) + 8
13 + 12x = (14 + 21x) + 8

Reorder the terms:
13 + 12x = 14 + 8 + 21x

Combine like terms: 14 + 8 = 22
13 + 12x = 22 + 21x

Solving
13 + 12x = 22 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
13 + 12x + -21x = 22 + 21x + -21x

Combine like terms: 12x + -21x = -9x
13 + -9x = 22 + 21x + -21x

Combine like terms: 21x + -21x = 0
13 + -9x = 22 + 0
13 + -9x = 22

Add '-13' to each side of the equation.
13 + -13 + -9x = 22 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = 22 + -13
-9x = 22 + -13

Combine like terms: 22 + -13 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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