5x-3x+5=10x-15

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Solution for 5x-3x+5=10x-15 equation:


Simplifying
5x + -3x + 5 = 10x + -15

Reorder the terms:
5 + 5x + -3x = 10x + -15

Combine like terms: 5x + -3x = 2x
5 + 2x = 10x + -15

Reorder the terms:
5 + 2x = -15 + 10x

Solving
5 + 2x = -15 + 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 + 2x + -10x = -15 + 10x + -10x

Combine like terms: 2x + -10x = -8x
5 + -8x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -8x = -15 + 0
5 + -8x = -15

Add '-5' to each side of the equation.
5 + -5 + -8x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -15 + -5
-8x = -15 + -5

Combine like terms: -15 + -5 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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