-3(x+5)=5(x-2)

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Solution for -3(x+5)=5(x-2) equation:


Simplifying
-3(x + 5) = 5(x + -2)

Reorder the terms:
-3(5 + x) = 5(x + -2)
(5 * -3 + x * -3) = 5(x + -2)
(-15 + -3x) = 5(x + -2)

Reorder the terms:
-15 + -3x = 5(-2 + x)
-15 + -3x = (-2 * 5 + x * 5)
-15 + -3x = (-10 + 5x)

Solving
-15 + -3x = -10 + 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 = -10 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-15 + -8x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + -8x = -10 + 0
-15 + -8x = -10

Add '15' to each side of the equation.
-15 + 15 + -8x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = -10 + 15
-8x = -10 + 15

Combine like terms: -10 + 15 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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