.25(4x+16)=3+2(2-x)

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Solution for .25(4x+16)=3+2(2-x) equation:


Simplifying
0.25(4x + 16) = 3 + 2(2 + -1x)

Reorder the terms:
0.25(16 + 4x) = 3 + 2(2 + -1x)
(16 * 0.25 + 4x * 0.25) = 3 + 2(2 + -1x)
(4 + 1x) = 3 + 2(2 + -1x)
4 + 1x = 3 + (2 * 2 + -1x * 2)
4 + 1x = 3 + (4 + -2x)

Combine like terms: 3 + 4 = 7
4 + 1x = 7 + -2x

Solving
4 + 1x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + 1x + 2x = 7 + -2x + 2x

Combine like terms: 1x + 2x = 3x
4 + 3x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 3x = 7 + 0
4 + 3x = 7

Add '-4' to each side of the equation.
4 + -4 + 3x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 7 + -4
3x = 7 + -4

Combine like terms: 7 + -4 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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