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

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


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

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

Reorder the terms:
45 + 25x = (7 + x)

Remove parenthesis around (7 + x)
45 + 25x = 7 + x

Solving
45 + 25x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
45 + 25x + -1x = 7 + x + -1x

Combine like terms: 25x + -1x = 24x
45 + 24x = 7 + x + -1x

Combine like terms: x + -1x = 0
45 + 24x = 7 + 0
45 + 24x = 7

Add '-45' to each side of the equation.
45 + -45 + 24x = 7 + -45

Combine like terms: 45 + -45 = 0
0 + 24x = 7 + -45
24x = 7 + -45

Combine like terms: 7 + -45 = -38
24x = -38

Divide each side by '24'.
x = -1.583333333

Simplifying
x = -1.583333333

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