.25(x)+.30(14)=.27(x+14)

Solution for .25(x)+.30(14)=.27(x+14) equation:

Simplifying
0.25(x) + 0.30(14) = 0.27(x + 14)

Multiply 0.30 * 14
0.25x + 4.2 = 0.27(x + 14)

Reorder the terms:
4.2 + 0.25x = 0.27(x + 14)

Reorder the terms:
4.2 + 0.25x = 0.27(14 + x)
4.2 + 0.25x = (14 * 0.27 + x * 0.27)
4.2 + 0.25x = (3.78 + 0.27x)

Solving
4.2 + 0.25x = 3.78 + 0.27x

Solving for variable 'x'.

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

Add '-0.27x' to each side of the equation.
4.2 + 0.25x + -0.27x = 3.78 + 0.27x + -0.27x

Combine like terms: 0.25x + -0.27x = -0.02x
4.2 + -0.02x = 3.78 + 0.27x + -0.27x

Combine like terms: 0.27x + -0.27x = 0.00
4.2 + -0.02x = 3.78 + 0.00
4.2 + -0.02x = 3.78

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -0.02x = 3.78 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -0.02x = 3.78 + -4.2
-0.02x = 3.78 + -4.2

Combine like terms: 3.78 + -4.2 = -0.42
-0.02x = -0.42

Divide each side by '-0.02'.
x = 21

Simplifying
x = 21