0.35(x)+0.40(14)=0.37(x+14)

Solution for 0.35(x)+0.40(14)=0.37(x+14) equation:

Simplifying
0.35(x) + 0.40(14) = 0.37(x + 14)

Multiply 0.40 * 14
0.35x + 5.6 = 0.37(x + 14)

Reorder the terms:
5.6 + 0.35x = 0.37(x + 14)

Reorder the terms:
5.6 + 0.35x = 0.37(14 + x)
5.6 + 0.35x = (14 * 0.37 + x * 0.37)
5.6 + 0.35x = (5.18 + 0.37x)

Solving
5.6 + 0.35x = 5.18 + 0.37x

Solving for variable 'x'.

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

Add '-0.37x' to each side of the equation.
5.6 + 0.35x + -0.37x = 5.18 + 0.37x + -0.37x

Combine like terms: 0.35x + -0.37x = -0.02x
5.6 + -0.02x = 5.18 + 0.37x + -0.37x

Combine like terms: 0.37x + -0.37x = 0.00
5.6 + -0.02x = 5.18 + 0.00
5.6 + -0.02x = 5.18

Add '-5.6' to each side of the equation.
5.6 + -5.6 + -0.02x = 5.18 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + -0.02x = 5.18 + -5.6
-0.02x = 5.18 + -5.6

Combine like terms: 5.18 + -5.6 = -0.42
-0.02x = -0.42

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

Simplifying
x = 21