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

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


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

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

Reorder the terms:
-45 + 9x = 7(13 + x)
-45 + 9x = (13 * 7 + x * 7)
-45 + 9x = (91 + 7x)

Solving
-45 + 9x = 91 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-45 + 9x + -7x = 91 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-45 + 2x = 91 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + 2x = 91 + 0
-45 + 2x = 91

Add '45' to each side of the equation.
-45 + 45 + 2x = 91 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = 91 + 45
2x = 91 + 45

Combine like terms: 91 + 45 = 136
2x = 136

Divide each side by '2'.
x = 68

Simplifying
x = 68

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