9(x+2)+x=4(x+5)+2

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Solution for 9(x+2)+x=4(x+5)+2 equation: 


Simplifying
9(x + 2) + x = 4(x + 5) + 2

Reorder the terms:
9(2 + x) + x = 4(x + 5) + 2
(2 * 9 + x * 9) + x = 4(x + 5) + 2
(18 + 9x) + x = 4(x + 5) + 2

Combine like terms: 9x + x = 10x
18 + 10x = 4(x + 5) + 2

Reorder the terms:
18 + 10x = 4(5 + x) + 2
18 + 10x = (5 * 4 + x * 4) + 2
18 + 10x = (20 + 4x) + 2

Reorder the terms:
18 + 10x = 20 + 2 + 4x

Combine like terms: 20 + 2 = 22
18 + 10x = 22 + 4x

Solving
18 + 10x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 10x + -4x = 22 + 4x + -4x

Combine like terms: 10x + -4x = 6x
18 + 6x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 6x = 22 + 0
18 + 6x = 22

Add '-18' to each side of the equation.
18 + -18 + 6x = 22 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 22 + -18
6x = 22 + -18

Combine like terms: 22 + -18 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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