5(x+8)=-2x-33

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Solution for 5(x+8)=-2x-33 equation: 


Simplifying
5(x + 8) = -2x + -33

Reorder the terms:
5(8 + x) = -2x + -33
(8 * 5 + x * 5) = -2x + -33
(40 + 5x) = -2x + -33

Reorder the terms:
40 + 5x = -33 + -2x

Solving
40 + 5x = -33 + -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.
40 + 5x + 2x = -33 + -2x + 2x

Combine like terms: 5x + 2x = 7x
40 + 7x = -33 + -2x + 2x

Combine like terms: -2x + 2x = 0
40 + 7x = -33 + 0
40 + 7x = -33

Add '-40' to each side of the equation.
40 + -40 + 7x = -33 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = -33 + -40
7x = -33 + -40

Combine like terms: -33 + -40 = -73
7x = -73

Divide each side by '7'.
x = -10.42857143

Simplifying
x = -10.42857143

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