3x+13=15x-7

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Solution for 3x+13=15x-7 equation: 


Simplifying
3x + 13 = 15x + -7

Reorder the terms:
13 + 3x = 15x + -7

Reorder the terms:
13 + 3x = -7 + 15x

Solving
13 + 3x = -7 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
13 + 3x + -15x = -7 + 15x + -15x

Combine like terms: 3x + -15x = -12x
13 + -12x = -7 + 15x + -15x

Combine like terms: 15x + -15x = 0
13 + -12x = -7 + 0
13 + -12x = -7

Add '-13' to each side of the equation.
13 + -13 + -12x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -12x = -7 + -13
-12x = -7 + -13

Combine like terms: -7 + -13 = -20
-12x = -20

Divide each side by '-12'.
x = 1.666666667

Simplifying
x = 1.666666667

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