3x+5=15x-13

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Solution for 3x+5=15x-13 equation:


Simplifying
3x + 5 = 15x + -13

Reorder the terms:
5 + 3x = 15x + -13

Reorder the terms:
5 + 3x = -13 + 15x

Solving
5 + 3x = -13 + 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.
5 + 3x + -15x = -13 + 15x + -15x

Combine like terms: 3x + -15x = -12x
5 + -12x = -13 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -12x = -13 + 0
5 + -12x = -13

Add '-5' to each side of the equation.
5 + -5 + -12x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = -13 + -5
-12x = -13 + -5

Combine like terms: -13 + -5 = -18
-12x = -18

Divide each side by '-12'.
x = 1.5

Simplifying
x = 1.5

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