.25(1.25x+16)=2(x+3)

Solution for .25(1.25x+16)=2(x+3) equation:

Simplifying
0.25(1.25x + 16) = 2(x + 3)

Reorder the terms:
0.25(16 + 1.25x) = 2(x + 3)
(16 * 0.25 + 1.25x * 0.25) = 2(x + 3)
(4 + 0.3125x) = 2(x + 3)

Reorder the terms:
4 + 0.3125x = 2(3 + x)
4 + 0.3125x = (3 * 2 + x * 2)
4 + 0.3125x = (6 + 2x)

Solving
4 + 0.3125x = 6 + 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 + 0.3125x + -2x = 6 + 2x + -2x

Combine like terms: 0.3125x + -2x = -1.6875x
4 + -1.6875x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -1.6875x = 6 + 0
4 + -1.6875x = 6

Add '-4' to each side of the equation.
4 + -4 + -1.6875x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -1.6875x = 6 + -4
-1.6875x = 6 + -4

Combine like terms: 6 + -4 = 2
-1.6875x = 2

Divide each side by '-1.6875'.
x = -1.185185185

Simplifying
x = -1.185185185