2(2x+2)=5(4x-1)

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Solution for 2(2x+2)=5(4x-1) equation:


Simplifying
2(2x + 2) = 5(4x + -1)

Reorder the terms:
2(2 + 2x) = 5(4x + -1)
(2 * 2 + 2x * 2) = 5(4x + -1)
(4 + 4x) = 5(4x + -1)

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

Solving
4 + 4x = -5 + 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.
4 + 4x + -20x = -5 + 20x + -20x

Combine like terms: 4x + -20x = -16x
4 + -16x = -5 + 20x + -20x

Combine like terms: 20x + -20x = 0
4 + -16x = -5 + 0
4 + -16x = -5

Add '-4' to each side of the equation.
4 + -4 + -16x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -16x = -5 + -4
-16x = -5 + -4

Combine like terms: -5 + -4 = -9
-16x = -9

Divide each side by '-16'.
x = 0.5625

Simplifying
x = 0.5625

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