5(3x+2)=-24-2x

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Solution for 5(3x+2)=-24-2x equation:


Simplifying
5(3x + 2) = -24 + -2x

Reorder the terms:
5(2 + 3x) = -24 + -2x
(2 * 5 + 3x * 5) = -24 + -2x
(10 + 15x) = -24 + -2x

Solving
10 + 15x = -24 + -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.
10 + 15x + 2x = -24 + -2x + 2x

Combine like terms: 15x + 2x = 17x
10 + 17x = -24 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 17x = -24 + 0
10 + 17x = -24

Add '-10' to each side of the equation.
10 + -10 + 17x = -24 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = -24 + -10
17x = -24 + -10

Combine like terms: -24 + -10 = -34
17x = -34

Divide each side by '17'.
x = -2

Simplifying
x = -2

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