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

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


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

Reorder the terms:
5(3 + x) = 9 + -5(4x + 4)
(3 * 5 + x * 5) = 9 + -5(4x + 4)
(15 + 5x) = 9 + -5(4x + 4)

Reorder the terms:
15 + 5x = 9 + -5(4 + 4x)
15 + 5x = 9 + (4 * -5 + 4x * -5)
15 + 5x = 9 + (-20 + -20x)

Combine like terms: 9 + -20 = -11
15 + 5x = -11 + -20x

Solving
15 + 5x = -11 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
15 + 5x + 20x = -11 + -20x + 20x

Combine like terms: 5x + 20x = 25x
15 + 25x = -11 + -20x + 20x

Combine like terms: -20x + 20x = 0
15 + 25x = -11 + 0
15 + 25x = -11

Add '-15' to each side of the equation.
15 + -15 + 25x = -11 + -15

Combine like terms: 15 + -15 = 0
0 + 25x = -11 + -15
25x = -11 + -15

Combine like terms: -11 + -15 = -26
25x = -26

Divide each side by '25'.
x = -1.04

Simplifying
x = -1.04

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