5x-35=2x+10

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Solution for 5x-35=2x+10 equation:


Simplifying
5x + -35 = 2x + 10

Reorder the terms:
-35 + 5x = 2x + 10

Reorder the terms:
-35 + 5x = 10 + 2x

Solving
-35 + 5x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-35 + 5x + -2x = 10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-35 + 3x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + 3x = 10 + 0
-35 + 3x = 10

Add '35' to each side of the equation.
-35 + 35 + 3x = 10 + 35

Combine like terms: -35 + 35 = 0
0 + 3x = 10 + 35
3x = 10 + 35

Combine like terms: 10 + 35 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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