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

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


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

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

Reorder the terms:
-20 + 5x = 3(3 + -8x)
-20 + 5x = (3 * 3 + -8x * 3)
-20 + 5x = (9 + -24x)

Solving
-20 + 5x = 9 + -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.
-20 + 5x + 24x = 9 + -24x + 24x

Combine like terms: 5x + 24x = 29x
-20 + 29x = 9 + -24x + 24x

Combine like terms: -24x + 24x = 0
-20 + 29x = 9 + 0
-20 + 29x = 9

Add '20' to each side of the equation.
-20 + 20 + 29x = 9 + 20

Combine like terms: -20 + 20 = 0
0 + 29x = 9 + 20
29x = 9 + 20

Combine like terms: 9 + 20 = 29
29x = 29

Divide each side by '29'.
x = 1

Simplifying
x = 1

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