5x=8(5x-3)-16

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Solution for 5x=8(5x-3)-16 equation:


Simplifying
5x = 8(5x + -3) + -16

Reorder the terms:
5x = 8(-3 + 5x) + -16
5x = (-3 * 8 + 5x * 8) + -16
5x = (-24 + 40x) + -16

Reorder the terms:
5x = -24 + -16 + 40x

Combine like terms: -24 + -16 = -40
5x = -40 + 40x

Solving
5x = -40 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
5x + -40x = -40 + 40x + -40x

Combine like terms: 5x + -40x = -35x
-35x = -40 + 40x + -40x

Combine like terms: 40x + -40x = 0
-35x = -40 + 0
-35x = -40

Divide each side by '-35'.
x = 1.142857143

Simplifying
x = 1.142857143

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