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

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


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

Reorder the terms:
9(3 + 2x) + -5 = -1(x + -3)
(3 * 9 + 2x * 9) + -5 = -1(x + -3)
(27 + 18x) + -5 = -1(x + -3)

Reorder the terms:
27 + -5 + 18x = -1(x + -3)

Combine like terms: 27 + -5 = 22
22 + 18x = -1(x + -3)

Reorder the terms:
22 + 18x = -1(-3 + x)
22 + 18x = (-3 * -1 + x * -1)
22 + 18x = (3 + -1x)

Solving
22 + 18x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
22 + 18x + x = 3 + -1x + x

Combine like terms: 18x + x = 19x
22 + 19x = 3 + -1x + x

Combine like terms: -1x + x = 0
22 + 19x = 3 + 0
22 + 19x = 3

Add '-22' to each side of the equation.
22 + -22 + 19x = 3 + -22

Combine like terms: 22 + -22 = 0
0 + 19x = 3 + -22
19x = 3 + -22

Combine like terms: 3 + -22 = -19
19x = -19

Divide each side by '19'.
x = -1

Simplifying
x = -1

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