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

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


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

Reorder the terms:
9(5 + x) + x = 4(x + 4) + 2
(5 * 9 + x * 9) + x = 4(x + 4) + 2
(45 + 9x) + x = 4(x + 4) + 2

Combine like terms: 9x + x = 10x
45 + 10x = 4(x + 4) + 2

Reorder the terms:
45 + 10x = 4(4 + x) + 2
45 + 10x = (4 * 4 + x * 4) + 2
45 + 10x = (16 + 4x) + 2

Reorder the terms:
45 + 10x = 16 + 2 + 4x

Combine like terms: 16 + 2 = 18
45 + 10x = 18 + 4x

Solving
45 + 10x = 18 + 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.
45 + 10x + -4x = 18 + 4x + -4x

Combine like terms: 10x + -4x = 6x
45 + 6x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
45 + 6x = 18 + 0
45 + 6x = 18

Add '-45' to each side of the equation.
45 + -45 + 6x = 18 + -45

Combine like terms: 45 + -45 = 0
0 + 6x = 18 + -45
6x = 18 + -45

Combine like terms: 18 + -45 = -27
6x = -27

Divide each side by '6'.
x = -4.5

Simplifying
x = -4.5

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