5x+24=-3(x+7)-3

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Solution for 5x+24=-3(x+7)-3 equation:


Simplifying
5x + 24 = -3(x + 7) + -3

Reorder the terms:
24 + 5x = -3(x + 7) + -3

Reorder the terms:
24 + 5x = -3(7 + x) + -3
24 + 5x = (7 * -3 + x * -3) + -3
24 + 5x = (-21 + -3x) + -3

Reorder the terms:
24 + 5x = -21 + -3 + -3x

Combine like terms: -21 + -3 = -24
24 + 5x = -24 + -3x

Solving
24 + 5x = -24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
24 + 5x + 3x = -24 + -3x + 3x

Combine like terms: 5x + 3x = 8x
24 + 8x = -24 + -3x + 3x

Combine like terms: -3x + 3x = 0
24 + 8x = -24 + 0
24 + 8x = -24

Add '-24' to each side of the equation.
24 + -24 + 8x = -24 + -24

Combine like terms: 24 + -24 = 0
0 + 8x = -24 + -24
8x = -24 + -24

Combine like terms: -24 + -24 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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