5(5x+9)+x+7=13

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Solution for 5(5x+9)+x+7=13 equation:


Simplifying
5(5x + 9) + x + 7 = 13

Reorder the terms:
5(9 + 5x) + x + 7 = 13
(9 * 5 + 5x * 5) + x + 7 = 13
(45 + 25x) + x + 7 = 13

Reorder the terms:
45 + 7 + 25x + x = 13

Combine like terms: 45 + 7 = 52
52 + 25x + x = 13

Combine like terms: 25x + x = 26x
52 + 26x = 13

Solving
52 + 26x = 13

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 26x = 13 + -52

Combine like terms: 52 + -52 = 0
0 + 26x = 13 + -52
26x = 13 + -52

Combine like terms: 13 + -52 = -39
26x = -39

Divide each side by '26'.
x = -1.5

Simplifying
x = -1.5

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