5x+3-(3x-2)=10

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


Simplifying
5x + 3 + -1(3x + -2) = 10

Reorder the terms:
5x + 3 + -1(-2 + 3x) = 10
5x + 3 + (-2 * -1 + 3x * -1) = 10
5x + 3 + (2 + -3x) = 10

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

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

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

Solving
5 + 2x = 10

Solving for variable 'x'.

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

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 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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