5(x+5)-7x=13

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Solution for 5(x+5)-7x=13 equation:


Simplifying
5(x + 5) + -7x = 13

Reorder the terms:
5(5 + x) + -7x = 13
(5 * 5 + x * 5) + -7x = 13
(25 + 5x) + -7x = 13

Combine like terms: 5x + -7x = -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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