8(3x-5)=6(12-4x)

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Solution for 8(3x-5)=6(12-4x) equation:


Simplifying
8(3x + -5) = 6(12 + -4x)

Reorder the terms:
8(-5 + 3x) = 6(12 + -4x)
(-5 * 8 + 3x * 8) = 6(12 + -4x)
(-40 + 24x) = 6(12 + -4x)
-40 + 24x = (12 * 6 + -4x * 6)
-40 + 24x = (72 + -24x)

Solving
-40 + 24x = 72 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-40 + 24x + 24x = 72 + -24x + 24x

Combine like terms: 24x + 24x = 48x
-40 + 48x = 72 + -24x + 24x

Combine like terms: -24x + 24x = 0
-40 + 48x = 72 + 0
-40 + 48x = 72

Add '40' to each side of the equation.
-40 + 40 + 48x = 72 + 40

Combine like terms: -40 + 40 = 0
0 + 48x = 72 + 40
48x = 72 + 40

Combine like terms: 72 + 40 = 112
48x = 112

Divide each side by '48'.
x = 2.333333333

Simplifying
x = 2.333333333

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