2x-9=7x-24

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Solution for 2x-9=7x-24 equation:


Simplifying
2x + -9 = 7x + -24

Reorder the terms:
-9 + 2x = 7x + -24

Reorder the terms:
-9 + 2x = -24 + 7x

Solving
-9 + 2x = -24 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-9 + 2x + -7x = -24 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-9 + -5x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -5x = -24 + 0
-9 + -5x = -24

Add '9' to each side of the equation.
-9 + 9 + -5x = -24 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = -24 + 9
-5x = -24 + 9

Combine like terms: -24 + 9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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