9(x+30)-(45-18x)=15-3x

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Solution for 9(x+30)-(45-18x)=15-3x equation: 


Simplifying
9(x + 30) + -1(45 + -18x) = 15 + -3x

Reorder the terms:
9(30 + x) + -1(45 + -18x) = 15 + -3x
(30 * 9 + x * 9) + -1(45 + -18x) = 15 + -3x
(270 + 9x) + -1(45 + -18x) = 15 + -3x
270 + 9x + (45 * -1 + -18x * -1) = 15 + -3x
270 + 9x + (-45 + 18x) = 15 + -3x

Reorder the terms:
270 + -45 + 9x + 18x = 15 + -3x

Combine like terms: 270 + -45 = 225
225 + 9x + 18x = 15 + -3x

Combine like terms: 9x + 18x = 27x
225 + 27x = 15 + -3x

Solving
225 + 27x = 15 + -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.
225 + 27x + 3x = 15 + -3x + 3x

Combine like terms: 27x + 3x = 30x
225 + 30x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
225 + 30x = 15 + 0
225 + 30x = 15

Add '-225' to each side of the equation.
225 + -225 + 30x = 15 + -225

Combine like terms: 225 + -225 = 0
0 + 30x = 15 + -225
30x = 15 + -225

Combine like terms: 15 + -225 = -210
30x = -210

Divide each side by '30'.
x = -7

Simplifying
x = -7

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