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

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


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

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

Reorder the terms:
45 + 5x = 9(7 + x)
45 + 5x = (7 * 9 + x * 9)
45 + 5x = (63 + 9x)

Solving
45 + 5x = 63 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
45 + 5x + -9x = 63 + 9x + -9x

Combine like terms: 5x + -9x = -4x
45 + -4x = 63 + 9x + -9x

Combine like terms: 9x + -9x = 0
45 + -4x = 63 + 0
45 + -4x = 63

Add '-45' to each side of the equation.
45 + -45 + -4x = 63 + -45

Combine like terms: 45 + -45 = 0
0 + -4x = 63 + -45
-4x = 63 + -45

Combine like terms: 63 + -45 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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