2[x+5]+8=5[x+2]+11

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Solution for 2[x+5]+8=5[x+2]+11 equation: 


Simplifying
2[x + 5] + 8 = 5[x + 2] + 11

Reorder the terms:
2[5 + x] + 8 = 5[x + 2] + 11
[5 * 2 + x * 2] + 8 = 5[x + 2] + 11
[10 + 2x] + 8 = 5[x + 2] + 11

Reorder the terms:
10 + 8 + 2x = 5[x + 2] + 11

Combine like terms: 10 + 8 = 18
18 + 2x = 5[x + 2] + 11

Reorder the terms:
18 + 2x = 5[2 + x] + 11
18 + 2x = [2 * 5 + x * 5] + 11
18 + 2x = [10 + 5x] + 11

Reorder the terms:
18 + 2x = 10 + 11 + 5x

Combine like terms: 10 + 11 = 21
18 + 2x = 21 + 5x

Solving
18 + 2x = 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 + 2x + -5x = 21 + 5x + -5x

Combine like terms: 2x + -5x = -3x
18 + -3x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -3x = 21 + 0
18 + -3x = 21

Add '-18' to each side of the equation.
18 + -18 + -3x = 21 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 21 + -18
-3x = 21 + -18

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

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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