2x+3x+5=10x-13

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Solution for 2x+3x+5=10x-13 equation:


Simplifying
2x + 3x + 5 = 10x + -13

Reorder the terms:
5 + 2x + 3x = 10x + -13

Combine like terms: 2x + 3x = 5x
5 + 5x = 10x + -13

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

Solving
5 + 5x = -13 + 10x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

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