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

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


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

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

Reorder the terms:
-24 + 3x = 4(-5 + 2x)
-24 + 3x = (-5 * 4 + 2x * 4)
-24 + 3x = (-20 + 8x)

Solving
-24 + 3x = -20 + 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.
-24 + 3x + -8x = -20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-24 + -5x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -5x = -20 + 0
-24 + -5x = -20

Add '24' to each side of the equation.
-24 + 24 + -5x = -20 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = -20 + 24
-5x = -20 + 24

Combine like terms: -20 + 24 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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