9(2x+5)=-3x-75

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Solution for 9(2x+5)=-3x-75 equation:


Simplifying
9(2x + 5) = -3x + -75

Reorder the terms:
9(5 + 2x) = -3x + -75
(5 * 9 + 2x * 9) = -3x + -75
(45 + 18x) = -3x + -75

Reorder the terms:
45 + 18x = -75 + -3x

Solving
45 + 18x = -75 + -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.
45 + 18x + 3x = -75 + -3x + 3x

Combine like terms: 18x + 3x = 21x
45 + 21x = -75 + -3x + 3x

Combine like terms: -3x + 3x = 0
45 + 21x = -75 + 0
45 + 21x = -75

Add '-45' to each side of the equation.
45 + -45 + 21x = -75 + -45

Combine like terms: 45 + -45 = 0
0 + 21x = -75 + -45
21x = -75 + -45

Combine like terms: -75 + -45 = -120
21x = -120

Divide each side by '21'.
x = -5.714285714

Simplifying
x = -5.714285714

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