3x-5=5x+10

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


Simplifying
3x + -5 = 5x + 10

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

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

Solving
-5 + 3x = 10 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-5 + -2x = 10 + 0
-5 + -2x = 10

Add '5' to each side of the equation.
-5 + 5 + -2x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 10 + 5
-2x = 10 + 5

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

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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