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

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


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

Reorder the terms:
3(5 + x) = 5(x + -7)
(5 * 3 + x * 3) = 5(x + -7)
(15 + 3x) = 5(x + -7)

Reorder the terms:
15 + 3x = 5(-7 + x)
15 + 3x = (-7 * 5 + x * 5)
15 + 3x = (-35 + 5x)

Solving
15 + 3x = -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.
15 + 3x + -5x = -35 + 5x + -5x

Combine like terms: 3x + -5x = -2x
15 + -2x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -2x = -35 + 0
15 + -2x = -35

Add '-15' to each side of the equation.
15 + -15 + -2x = -35 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -35 + -15
-2x = -35 + -15

Combine like terms: -35 + -15 = -50
-2x = -50

Divide each side by '-2'.
x = 25

Simplifying
x = 25

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