6(x+1)+12=5(x+2)+11

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Solution for 6(x+1)+12=5(x+2)+11 equation:


Simplifying
6(x + 1) + 12 = 5(x + 2) + 11

Reorder the terms:
6(1 + x) + 12 = 5(x + 2) + 11
(1 * 6 + x * 6) + 12 = 5(x + 2) + 11
(6 + 6x) + 12 = 5(x + 2) + 11

Reorder the terms:
6 + 12 + 6x = 5(x + 2) + 11

Combine like terms: 6 + 12 = 18
18 + 6x = 5(x + 2) + 11

Reorder the terms:
18 + 6x = 5(2 + x) + 11
18 + 6x = (2 * 5 + x * 5) + 11
18 + 6x = (10 + 5x) + 11

Reorder the terms:
18 + 6x = 10 + 11 + 5x

Combine like terms: 10 + 11 = 21
18 + 6x = 21 + 5x

Solving
18 + 6x = 21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 6x + -5x = 21 + 5x + -5x

Combine like terms: 6x + -5x = 1x
18 + 1x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 1x = 21 + 0
18 + 1x = 21

Add '-18' to each side of the equation.
18 + -18 + 1x = 21 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 21 + -18
1x = 21 + -18

Combine like terms: 21 + -18 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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