10x+5-3x+9=-11x+6x+38

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Solution for 10x+5-3x+9=-11x+6x+38 equation: 


Simplifying
10x + 5 + -3x + 9 = -11x + 6x + 38

Reorder the terms:
5 + 9 + 10x + -3x = -11x + 6x + 38

Combine like terms: 5 + 9 = 14
14 + 10x + -3x = -11x + 6x + 38

Combine like terms: 10x + -3x = 7x
14 + 7x = -11x + 6x + 38

Reorder the terms:
14 + 7x = 38 + -11x + 6x

Combine like terms: -11x + 6x = -5x
14 + 7x = 38 + -5x

Solving
14 + 7x = 38 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
14 + 7x + 5x = 38 + -5x + 5x

Combine like terms: 7x + 5x = 12x
14 + 12x = 38 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 12x = 38 + 0
14 + 12x = 38

Add '-14' to each side of the equation.
14 + -14 + 12x = 38 + -14

Combine like terms: 14 + -14 = 0
0 + 12x = 38 + -14
12x = 38 + -14

Combine like terms: 38 + -14 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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