7x+2+9x+13=3x+11+7x+6

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Solution for 7x+2+9x+13=3x+11+7x+6 equation: 


Simplifying
7x + 2 + 9x + 13 = 3x + 11 + 7x + 6

Reorder the terms:
2 + 13 + 7x + 9x = 3x + 11 + 7x + 6

Combine like terms: 2 + 13 = 15
15 + 7x + 9x = 3x + 11 + 7x + 6

Combine like terms: 7x + 9x = 16x
15 + 16x = 3x + 11 + 7x + 6

Reorder the terms:
15 + 16x = 11 + 6 + 3x + 7x

Combine like terms: 11 + 6 = 17
15 + 16x = 17 + 3x + 7x

Combine like terms: 3x + 7x = 10x
15 + 16x = 17 + 10x

Solving
15 + 16x = 17 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15 + 16x + -10x = 17 + 10x + -10x

Combine like terms: 16x + -10x = 6x
15 + 6x = 17 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + 6x = 17 + 0
15 + 6x = 17

Add '-15' to each side of the equation.
15 + -15 + 6x = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 17 + -15
6x = 17 + -15

Combine like terms: 17 + -15 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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