3(24-8x)=2(5x-7)

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Solution for 3(24-8x)=2(5x-7) equation:


Simplifying
3(24 + -8x) = 2(5x + -7)
(24 * 3 + -8x * 3) = 2(5x + -7)
(72 + -24x) = 2(5x + -7)

Reorder the terms:
72 + -24x = 2(-7 + 5x)
72 + -24x = (-7 * 2 + 5x * 2)
72 + -24x = (-14 + 10x)

Solving
72 + -24x = -14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
72 + -24x + -10x = -14 + 10x + -10x

Combine like terms: -24x + -10x = -34x
72 + -34x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
72 + -34x = -14 + 0
72 + -34x = -14

Add '-72' to each side of the equation.
72 + -72 + -34x = -14 + -72

Combine like terms: 72 + -72 = 0
0 + -34x = -14 + -72
-34x = -14 + -72

Combine like terms: -14 + -72 = -86
-34x = -86

Divide each side by '-34'.
x = 2.529411765

Simplifying
x = 2.529411765

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