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

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


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

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

Reorder the terms:
-45 + 9x = 5(7 + x)
-45 + 9x = (7 * 5 + x * 5)
-45 + 9x = (35 + 5x)

Solving
-45 + 9x = 35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-45 + 9x + -5x = 35 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-45 + 4x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-45 + 4x = 35 + 0
-45 + 4x = 35

Add '45' to each side of the equation.
-45 + 45 + 4x = 35 + 45

Combine like terms: -45 + 45 = 0
0 + 4x = 35 + 45
4x = 35 + 45

Combine like terms: 35 + 45 = 80
4x = 80

Divide each side by '4'.
x = 20

Simplifying
x = 20

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