10x+5=15x-10

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


Simplifying
10x + 5 = 15x + -10

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

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

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

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

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

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

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

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

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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