3x-(x-3)=13

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Solution for 3x-(x-3)=13 equation:


Simplifying
3x + -1(x + -3) = 13

Reorder the terms:
3x + -1(-3 + x) = 13
3x + (-3 * -1 + x * -1) = 13
3x + (3 + -1x) = 13

Reorder the terms:
3 + 3x + -1x = 13

Combine like terms: 3x + -1x = 2x
3 + 2x = 13

Solving
3 + 2x = 13

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 13 + -3
2x = 13 + -3

Combine like terms: 13 + -3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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