8x*2-24=3x*2-9

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Solution for 8x*2-24=3x*2-9 equation:


Simplifying
8x * 2 + -24 = 3x * 2 + -9

Reorder the terms for easier multiplication:
8 * 2x + -24 = 3x * 2 + -9

Multiply 8 * 2
16x + -24 = 3x * 2 + -9

Reorder the terms:
-24 + 16x = 3x * 2 + -9

Reorder the terms for easier multiplication:
-24 + 16x = 3 * 2x + -9

Multiply 3 * 2
-24 + 16x = 6x + -9

Reorder the terms:
-24 + 16x = -9 + 6x

Solving
-24 + 16x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + 16x + -6x = -9 + 6x + -6x

Combine like terms: 16x + -6x = 10x
-24 + 10x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + 10x = -9 + 0
-24 + 10x = -9

Add '24' to each side of the equation.
-24 + 24 + 10x = -9 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = -9 + 24
10x = -9 + 24

Combine like terms: -9 + 24 = 15
10x = 15

Divide each side by '10'.
x = 1.5

Simplifying
x = 1.5

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