3(8x-2)=4(5x-6)

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Solution for 3(8x-2)=4(5x-6) equation:


Simplifying
3(8x + -2) = 4(5x + -6)

Reorder the terms:
3(-2 + 8x) = 4(5x + -6)
(-2 * 3 + 8x * 3) = 4(5x + -6)
(-6 + 24x) = 4(5x + -6)

Reorder the terms:
-6 + 24x = 4(-6 + 5x)
-6 + 24x = (-6 * 4 + 5x * 4)
-6 + 24x = (-24 + 20x)

Solving
-6 + 24x = -24 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + 24x + -20x = -24 + 20x + -20x

Combine like terms: 24x + -20x = 4x
-6 + 4x = -24 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + 4x = -24 + 0
-6 + 4x = -24

Add '6' to each side of the equation.
-6 + 6 + 4x = -24 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -24 + 6
4x = -24 + 6

Combine like terms: -24 + 6 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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