10x-3=5x+2

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Solution for 10x-3=5x+2 equation:


Simplifying
10x + -3 = 5x + 2

Reorder the terms:
-3 + 10x = 5x + 2

Reorder the terms:
-3 + 10x = 2 + 5x

Solving
-3 + 10x = 2 + 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.
-3 + 10x + -5x = 2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-3 + 5x = 2 + 0
-3 + 5x = 2

Add '3' to each side of the equation.
-3 + 3 + 5x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 2 + 3
5x = 2 + 3

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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