3x+5=13x-10

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Solution for 3x+5=13x-10 equation:


Simplifying
3x + 5 = 13x + -10

Reorder the terms:
5 + 3x = 13x + -10

Reorder the terms:
5 + 3x = -10 + 13x

Solving
5 + 3x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
5 + 3x + -13x = -10 + 13x + -13x

Combine like terms: 3x + -13x = -10x
5 + -10x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -10x = -10 + 0
5 + -10x = -10

Add '-5' to each side of the equation.
5 + -5 + -10x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = -10 + -5
-10x = -10 + -5

Combine like terms: -10 + -5 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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