6x+2=3x+13

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Solution for 6x+2=3x+13 equation: 


Simplifying
6x + 2 = 3x + 13

Reorder the terms:
2 + 6x = 3x + 13

Reorder the terms:
2 + 6x = 13 + 3x

Solving
2 + 6x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 6x + -3x = 13 + 3x + -3x

Combine like terms: 6x + -3x = 3x
2 + 3x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 3x = 13 + 0
2 + 3x = 13

Add '-2' to each side of the equation.
2 + -2 + 3x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 13 + -2
3x = 13 + -2

Combine like terms: 13 + -2 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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