6x+9=30x-24

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Solution for 6x+9=30x-24 equation:


Simplifying
6x + 9 = 30x + -24

Reorder the terms:
9 + 6x = 30x + -24

Reorder the terms:
9 + 6x = -24 + 30x

Solving
9 + 6x = -24 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
9 + 6x + -30x = -24 + 30x + -30x

Combine like terms: 6x + -30x = -24x
9 + -24x = -24 + 30x + -30x

Combine like terms: 30x + -30x = 0
9 + -24x = -24 + 0
9 + -24x = -24

Add '-9' to each side of the equation.
9 + -9 + -24x = -24 + -9

Combine like terms: 9 + -9 = 0
0 + -24x = -24 + -9
-24x = -24 + -9

Combine like terms: -24 + -9 = -33
-24x = -33

Divide each side by '-24'.
x = 1.375

Simplifying
x = 1.375

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