5(x+5)-3x=13

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


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

Reorder the terms:
5(5 + x) + -3x = 13
(5 * 5 + x * 5) + -3x = 13
(25 + 5x) + -3x = 13

Combine like terms: 5x + -3x = 2x
25 + 2x = 13

Solving
25 + 2x = 13

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 2x = 13 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 13 + -25
2x = 13 + -25

Combine like terms: 13 + -25 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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