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

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Solution for 4(x+9)+9=-5(x-3) equation:


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

Reorder the terms:
4(9 + x) + 9 = -5(x + -3)
(9 * 4 + x * 4) + 9 = -5(x + -3)
(36 + 4x) + 9 = -5(x + -3)

Reorder the terms:
36 + 9 + 4x = -5(x + -3)

Combine like terms: 36 + 9 = 45
45 + 4x = -5(x + -3)

Reorder the terms:
45 + 4x = -5(-3 + x)
45 + 4x = (-3 * -5 + x * -5)
45 + 4x = (15 + -5x)

Solving
45 + 4x = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
45 + 4x + 5x = 15 + -5x + 5x

Combine like terms: 4x + 5x = 9x
45 + 9x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
45 + 9x = 15 + 0
45 + 9x = 15

Add '-45' to each side of the equation.
45 + -45 + 9x = 15 + -45

Combine like terms: 45 + -45 = 0
0 + 9x = 15 + -45
9x = 15 + -45

Combine like terms: 15 + -45 = -30
9x = -30

Divide each side by '9'.
x = -3.333333333

Simplifying
x = -3.333333333

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