5x-10=15x+20

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Solution for 5x-10=15x+20 equation:


Simplifying
5x + -10 = 15x + 20

Reorder the terms:
-10 + 5x = 15x + 20

Reorder the terms:
-10 + 5x = 20 + 15x

Solving
-10 + 5x = 20 + 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.
-10 + 5x + -15x = 20 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-10 + -10x = 20 + 15x + -15x

Combine like terms: 15x + -15x = 0
-10 + -10x = 20 + 0
-10 + -10x = 20

Add '10' to each side of the equation.
-10 + 10 + -10x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = 20 + 10
-10x = 20 + 10

Combine like terms: 20 + 10 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3

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