(-3x-2)=-5(3x+10)

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Solution for (-3x-2)=-5(3x+10) equation:


Simplifying
(-3x + -2) = -5(3x + 10)

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

Remove parenthesis around (-2 + -3x)
-2 + -3x = -5(3x + 10)

Reorder the terms:
-2 + -3x = -5(10 + 3x)
-2 + -3x = (10 * -5 + 3x * -5)
-2 + -3x = (-50 + -15x)

Solving
-2 + -3x = -50 + -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.
-2 + -3x + 15x = -50 + -15x + 15x

Combine like terms: -3x + 15x = 12x
-2 + 12x = -50 + -15x + 15x

Combine like terms: -15x + 15x = 0
-2 + 12x = -50 + 0
-2 + 12x = -50

Add '2' to each side of the equation.
-2 + 2 + 12x = -50 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = -50 + 2
12x = -50 + 2

Combine like terms: -50 + 2 = -48
12x = -48

Divide each side by '12'.
x = -4

Simplifying
x = -4

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