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

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


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

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

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

Solving
-15 + 3x = -5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 3x + 2x = -5 + -2x + 2x

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

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

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

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

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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