10-2(x+2)=0.25(x+21)

Solution for 10-2(x+2)=0.25(x+21) equation:

Simplifying
10 + -2(x + 2) = 0.25(x + 21)

Reorder the terms:
10 + -2(2 + x) = 0.25(x + 21)
10 + (2 * -2 + x * -2) = 0.25(x + 21)
10 + (-4 + -2x) = 0.25(x + 21)

Combine like terms: 10 + -4 = 6
6 + -2x = 0.25(x + 21)

Reorder the terms:
6 + -2x = 0.25(21 + x)
6 + -2x = (21 * 0.25 + x * 0.25)
6 + -2x = (5.25 + 0.25x)

Solving
6 + -2x = 5.25 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
6 + -2x + -0.25x = 5.25 + 0.25x + -0.25x

Combine like terms: -2x + -0.25x = -2.25x
6 + -2.25x = 5.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
6 + -2.25x = 5.25 + 0.00
6 + -2.25x = 5.25

Add '-6' to each side of the equation.
6 + -6 + -2.25x = 5.25 + -6

Combine like terms: 6 + -6 = 0
0 + -2.25x = 5.25 + -6
-2.25x = 5.25 + -6

Combine like terms: 5.25 + -6 = -0.75
-2.25x = -0.75

Divide each side by '-2.25'.
x = 0.3333333333

Simplifying
x = 0.3333333333