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

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


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

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

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

Solving
-35 + 7x = 45 + 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.
-35 + 7x + -5x = 45 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-35 + 2x = 45 + 5x + -5x

Combine like terms: 5x + -5x = 0
-35 + 2x = 45 + 0
-35 + 2x = 45

Add '35' to each side of the equation.
-35 + 35 + 2x = 45 + 35

Combine like terms: -35 + 35 = 0
0 + 2x = 45 + 35
2x = 45 + 35

Combine like terms: 45 + 35 = 80
2x = 80

Divide each side by '2'.
x = 40

Simplifying
x = 40

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