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

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


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

Reorder the terms:
6(3 + x) + -7 = 3(2x + 1) + x
(3 * 6 + x * 6) + -7 = 3(2x + 1) + x
(18 + 6x) + -7 = 3(2x + 1) + x

Reorder the terms:
18 + -7 + 6x = 3(2x + 1) + x

Combine like terms: 18 + -7 = 11
11 + 6x = 3(2x + 1) + x

Reorder the terms:
11 + 6x = 3(1 + 2x) + x
11 + 6x = (1 * 3 + 2x * 3) + x
11 + 6x = (3 + 6x) + x

Combine like terms: 6x + x = 7x
11 + 6x = 3 + 7x

Solving
11 + 6x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
11 + 6x + -7x = 3 + 7x + -7x

Combine like terms: 6x + -7x = -1x
11 + -1x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -1x = 3 + 0
11 + -1x = 3

Add '-11' to each side of the equation.
11 + -11 + -1x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 3 + -11
-1x = 3 + -11

Combine like terms: 3 + -11 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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