9(x+1)+2=4(x+8)-2x

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Solution for 9(x+1)+2=4(x+8)-2x equation: 


Simplifying
9(x + 1) + 2 = 4(x + 8) + -2x

Reorder the terms:
9(1 + x) + 2 = 4(x + 8) + -2x
(1 * 9 + x * 9) + 2 = 4(x + 8) + -2x
(9 + 9x) + 2 = 4(x + 8) + -2x

Reorder the terms:
9 + 2 + 9x = 4(x + 8) + -2x

Combine like terms: 9 + 2 = 11
11 + 9x = 4(x + 8) + -2x

Reorder the terms:
11 + 9x = 4(8 + x) + -2x
11 + 9x = (8 * 4 + x * 4) + -2x
11 + 9x = (32 + 4x) + -2x

Combine like terms: 4x + -2x = 2x
11 + 9x = 32 + 2x

Solving
11 + 9x = 32 + 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.
11 + 9x + -2x = 32 + 2x + -2x

Combine like terms: 9x + -2x = 7x
11 + 7x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 7x = 32 + 0
11 + 7x = 32

Add '-11' to each side of the equation.
11 + -11 + 7x = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 32 + -11
7x = 32 + -11

Combine like terms: 32 + -11 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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