20(-4x+4)=7(x-5)

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Solution for 20(-4x+4)=7(x-5) equation:


Simplifying
20(-4x + 4) = 7(x + -5)

Reorder the terms:
20(4 + -4x) = 7(x + -5)
(4 * 20 + -4x * 20) = 7(x + -5)
(80 + -80x) = 7(x + -5)

Reorder the terms:
80 + -80x = 7(-5 + x)
80 + -80x = (-5 * 7 + x * 7)
80 + -80x = (-35 + 7x)

Solving
80 + -80x = -35 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
80 + -80x + -7x = -35 + 7x + -7x

Combine like terms: -80x + -7x = -87x
80 + -87x = -35 + 7x + -7x

Combine like terms: 7x + -7x = 0
80 + -87x = -35 + 0
80 + -87x = -35

Add '-80' to each side of the equation.
80 + -80 + -87x = -35 + -80

Combine like terms: 80 + -80 = 0
0 + -87x = -35 + -80
-87x = -35 + -80

Combine like terms: -35 + -80 = -115
-87x = -115

Divide each side by '-87'.
x = 1.32183908

Simplifying
x = 1.32183908

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