-3(x-5)+8x=-15(-x-2)

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Solution for -3(x-5)+8x=-15(-x-2) equation:


Simplifying
-3(x + -5) + 8x = -15(-1x + -2)

Reorder the terms:
-3(-5 + x) + 8x = -15(-1x + -2)
(-5 * -3 + x * -3) + 8x = -15(-1x + -2)
(15 + -3x) + 8x = -15(-1x + -2)

Combine like terms: -3x + 8x = 5x
15 + 5x = -15(-1x + -2)

Reorder the terms:
15 + 5x = -15(-2 + -1x)
15 + 5x = (-2 * -15 + -1x * -15)
15 + 5x = (30 + 15x)

Solving
15 + 5x = 30 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
15 + 5x + -15x = 30 + 15x + -15x

Combine like terms: 5x + -15x = -10x
15 + -10x = 30 + 15x + -15x

Combine like terms: 15x + -15x = 0
15 + -10x = 30 + 0
15 + -10x = 30

Add '-15' to each side of the equation.
15 + -15 + -10x = 30 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = 30 + -15
-10x = 30 + -15

Combine like terms: 30 + -15 = 15
-10x = 15

Divide each side by '-10'.
x = -1.5

Simplifying
x = -1.5

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