9(x+5)=-3(x-29)

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Solution for 9(x+5)=-3(x-29) equation:


Simplifying
9(x + 5) = -3(x + -29)

Reorder the terms:
9(5 + x) = -3(x + -29)
(5 * 9 + x * 9) = -3(x + -29)
(45 + 9x) = -3(x + -29)

Reorder the terms:
45 + 9x = -3(-29 + x)
45 + 9x = (-29 * -3 + x * -3)
45 + 9x = (87 + -3x)

Solving
45 + 9x = 87 + -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 + 9x + 3x = 87 + -3x + 3x

Combine like terms: 9x + 3x = 12x
45 + 12x = 87 + -3x + 3x

Combine like terms: -3x + 3x = 0
45 + 12x = 87 + 0
45 + 12x = 87

Add '-45' to each side of the equation.
45 + -45 + 12x = 87 + -45

Combine like terms: 45 + -45 = 0
0 + 12x = 87 + -45
12x = 87 + -45

Combine like terms: 87 + -45 = 42
12x = 42

Divide each side by '12'.
x = 3.5

Simplifying
x = 3.5

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