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

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


Simplifying
5(3x + 9) + -2x = -1(5x + 9)

Reorder the terms:
5(9 + 3x) + -2x = -1(5x + 9)
(9 * 5 + 3x * 5) + -2x = -1(5x + 9)
(45 + 15x) + -2x = -1(5x + 9)

Combine like terms: 15x + -2x = 13x
45 + 13x = -1(5x + 9)

Reorder the terms:
45 + 13x = -1(9 + 5x)
45 + 13x = (9 * -1 + 5x * -1)
45 + 13x = (-9 + -5x)

Solving
45 + 13x = -9 + -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 + 13x + 5x = -9 + -5x + 5x

Combine like terms: 13x + 5x = 18x
45 + 18x = -9 + -5x + 5x

Combine like terms: -5x + 5x = 0
45 + 18x = -9 + 0
45 + 18x = -9

Add '-45' to each side of the equation.
45 + -45 + 18x = -9 + -45

Combine like terms: 45 + -45 = 0
0 + 18x = -9 + -45
18x = -9 + -45

Combine like terms: -9 + -45 = -54
18x = -54

Divide each side by '18'.
x = -3

Simplifying
x = -3

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