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

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


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

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

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

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

Combine like terms: 3x + 5x = 8x
-15 + 8x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0
-15 + 8x = -2 + 0
-15 + 8x = -2

Add '15' to each side of the equation.
-15 + 15 + 8x = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = -2 + 15
8x = -2 + 15

Combine like terms: -2 + 15 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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