8x-5(x-3)=8x-24

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Solution for 8x-5(x-3)=8x-24 equation:


Simplifying
8x + -5(x + -3) = 8x + -24

Reorder the terms:
8x + -5(-3 + x) = 8x + -24
8x + (-3 * -5 + x * -5) = 8x + -24
8x + (15 + -5x) = 8x + -24

Reorder the terms:
15 + 8x + -5x = 8x + -24

Combine like terms: 8x + -5x = 3x
15 + 3x = 8x + -24

Reorder the terms:
15 + 3x = -24 + 8x

Solving
15 + 3x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 3x + -8x = -24 + 8x + -8x

Combine like terms: 3x + -8x = -5x
15 + -5x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -5x = -24 + 0
15 + -5x = -24

Add '-15' to each side of the equation.
15 + -15 + -5x = -24 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -24 + -15
-5x = -24 + -15

Combine like terms: -24 + -15 = -39
-5x = -39

Divide each side by '-5'.
x = 7.8

Simplifying
x = 7.8

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