6(x+5)+2=(2x-5)+22

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Solution for 6(x+5)+2=(2x-5)+22 equation: 


Simplifying
6(x + 5) + 2 = (2x + -5) + 22

Reorder the terms:
6(5 + x) + 2 = (2x + -5) + 22
(5 * 6 + x * 6) + 2 = (2x + -5) + 22
(30 + 6x) + 2 = (2x + -5) + 22

Reorder the terms:
30 + 2 + 6x = (2x + -5) + 22

Combine like terms: 30 + 2 = 32
32 + 6x = (2x + -5) + 22

Reorder the terms:
32 + 6x = (-5 + 2x) + 22

Remove parenthesis around (-5 + 2x)
32 + 6x = -5 + 2x + 22

Reorder the terms:
32 + 6x = -5 + 22 + 2x

Combine like terms: -5 + 22 = 17
32 + 6x = 17 + 2x

Solving
32 + 6x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
32 + 6x + -2x = 17 + 2x + -2x

Combine like terms: 6x + -2x = 4x
32 + 4x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 4x = 17 + 0
32 + 4x = 17

Add '-32' to each side of the equation.
32 + -32 + 4x = 17 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 17 + -32
4x = 17 + -32

Combine like terms: 17 + -32 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75

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