4(5x-5)=-20(x-1)

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Solution for 4(5x-5)=-20(x-1) equation:


Simplifying
4(5x + -5) = -20(x + -1)

Reorder the terms:
4(-5 + 5x) = -20(x + -1)
(-5 * 4 + 5x * 4) = -20(x + -1)
(-20 + 20x) = -20(x + -1)

Reorder the terms:
-20 + 20x = -20(-1 + x)
-20 + 20x = (-1 * -20 + x * -20)
-20 + 20x = (20 + -20x)

Solving
-20 + 20x = 20 + -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.
-20 + 20x + 20x = 20 + -20x + 20x

Combine like terms: 20x + 20x = 40x
-20 + 40x = 20 + -20x + 20x

Combine like terms: -20x + 20x = 0
-20 + 40x = 20 + 0
-20 + 40x = 20

Add '20' to each side of the equation.
-20 + 20 + 40x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 40x = 20 + 20
40x = 20 + 20

Combine like terms: 20 + 20 = 40
40x = 40

Divide each side by '40'.
x = 1

Simplifying
x = 1

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