7(x+3)=5(x-5)

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Solution for 7(x+3)=5(x-5) equation:


Simplifying
7(x + 3) = 5(x + -5)

Reorder the terms:
7(3 + x) = 5(x + -5)
(3 * 7 + x * 7) = 5(x + -5)
(21 + 7x) = 5(x + -5)

Reorder the terms:
21 + 7x = 5(-5 + x)
21 + 7x = (-5 * 5 + x * 5)
21 + 7x = (-25 + 5x)

Solving
21 + 7x = -25 + 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.
21 + 7x + -5x = -25 + 5x + -5x

Combine like terms: 7x + -5x = 2x
21 + 2x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + 2x = -25 + 0
21 + 2x = -25

Add '-21' to each side of the equation.
21 + -21 + 2x = -25 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = -25 + -21
2x = -25 + -21

Combine like terms: -25 + -21 = -46
2x = -46

Divide each side by '2'.
x = -23

Simplifying
x = -23

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