(5x+2)-(3x-1)=13

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Solution for (5x+2)-(3x-1)=13 equation:


Simplifying
(5x + 2) + -1(3x + -1) = 13

Reorder the terms:
(2 + 5x) + -1(3x + -1) = 13

Remove parenthesis around (2 + 5x)
2 + 5x + -1(3x + -1) = 13

Reorder the terms:
2 + 5x + -1(-1 + 3x) = 13
2 + 5x + (-1 * -1 + 3x * -1) = 13
2 + 5x + (1 + -3x) = 13

Reorder the terms:
2 + 1 + 5x + -3x = 13

Combine like terms: 2 + 1 = 3
3 + 5x + -3x = 13

Combine like terms: 5x + -3x = 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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