6(-5x+45)=x-9

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Solution for 6(-5x+45)=x-9 equation:


Simplifying
6(-5x + 45) = x + -9

Reorder the terms:
6(45 + -5x) = x + -9
(45 * 6 + -5x * 6) = x + -9
(270 + -30x) = x + -9

Reorder the terms:
270 + -30x = -9 + x

Solving
270 + -30x = -9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
270 + -30x + -1x = -9 + x + -1x

Combine like terms: -30x + -1x = -31x
270 + -31x = -9 + x + -1x

Combine like terms: x + -1x = 0
270 + -31x = -9 + 0
270 + -31x = -9

Add '-270' to each side of the equation.
270 + -270 + -31x = -9 + -270

Combine like terms: 270 + -270 = 0
0 + -31x = -9 + -270
-31x = -9 + -270

Combine like terms: -9 + -270 = -279
-31x = -279

Divide each side by '-31'.
x = 9

Simplifying
x = 9

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