6x+13=47-9x

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Solution for 6x+13=47-9x equation:


Simplifying
6x + 13 = 47 + -9x

Reorder the terms:
13 + 6x = 47 + -9x

Solving
13 + 6x = 47 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
13 + 6x + 9x = 47 + -9x + 9x

Combine like terms: 6x + 9x = 15x
13 + 15x = 47 + -9x + 9x

Combine like terms: -9x + 9x = 0
13 + 15x = 47 + 0
13 + 15x = 47

Add '-13' to each side of the equation.
13 + -13 + 15x = 47 + -13

Combine like terms: 13 + -13 = 0
0 + 15x = 47 + -13
15x = 47 + -13

Combine like terms: 47 + -13 = 34
15x = 34

Divide each side by '15'.
x = 2.266666667

Simplifying
x = 2.266666667

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