8x-6=5x+24

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Solution for 8x-6=5x+24 equation:


Simplifying
8x + -6 = 5x + 24

Reorder the terms:
-6 + 8x = 5x + 24

Reorder the terms:
-6 + 8x = 24 + 5x

Solving
-6 + 8x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 8x + -5x = 24 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-6 + 3x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 3x = 24 + 0
-6 + 3x = 24

Add '6' to each side of the equation.
-6 + 6 + 3x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 24 + 6
3x = 24 + 6

Combine like terms: 24 + 6 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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