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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