9(x+10)+x=4(x+5)+2

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Solution for 9(x+10)+x=4(x+5)+2 equation: 


Simplifying
9(x + 10) + x = 4(x + 5) + 2

Reorder the terms:
9(10 + x) + x = 4(x + 5) + 2
(10 * 9 + x * 9) + x = 4(x + 5) + 2
(90 + 9x) + x = 4(x + 5) + 2

Combine like terms: 9x + x = 10x
90 + 10x = 4(x + 5) + 2

Reorder the terms:
90 + 10x = 4(5 + x) + 2
90 + 10x = (5 * 4 + x * 4) + 2
90 + 10x = (20 + 4x) + 2

Reorder the terms:
90 + 10x = 20 + 2 + 4x

Combine like terms: 20 + 2 = 22
90 + 10x = 22 + 4x

Solving
90 + 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.
90 + 10x + -4x = 22 + 4x + -4x

Combine like terms: 10x + -4x = 6x
90 + 6x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
90 + 6x = 22 + 0
90 + 6x = 22

Add '-90' to each side of the equation.
90 + -90 + 6x = 22 + -90

Combine like terms: 90 + -90 = 0
0 + 6x = 22 + -90
6x = 22 + -90

Combine like terms: 22 + -90 = -68
6x = -68

Divide each side by '6'.
x = -11.33333333

Simplifying
x = -11.33333333

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