0.25(4x-8)=5-4(x-2)

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Solution for 0.25(4x-8)=5-4(x-2) equation:


Simplifying
0.25(4x + -8) = 5 + -4(x + -2)

Reorder the terms:
0.25(-8 + 4x) = 5 + -4(x + -2)
(-8 * 0.25 + 4x * 0.25) = 5 + -4(x + -2)
(-2 + 1x) = 5 + -4(x + -2)

Reorder the terms:
-2 + 1x = 5 + -4(-2 + x)
-2 + 1x = 5 + (-2 * -4 + x * -4)
-2 + 1x = 5 + (8 + -4x)

Combine like terms: 5 + 8 = 13
-2 + 1x = 13 + -4x

Solving
-2 + 1x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2 + 1x + 4x = 13 + -4x + 4x

Combine like terms: 1x + 4x = 5x
-2 + 5x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 5x = 13 + 0
-2 + 5x = 13

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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