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

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


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

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

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

Solving
35 + 5x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
35 + 5x + -3x = -15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
35 + 2x = -15 + 0
35 + 2x = -15

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

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

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

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

Simplifying
x = -25

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