.4x+6.3=.42(x+14)

Solution for .4x+6.3=.42(x+14) equation:

Simplifying
0.4x + 6.3 = 0.42(x + 14)

Reorder the terms:
6.3 + 0.4x = 0.42(x + 14)

Reorder the terms:
6.3 + 0.4x = 0.42(14 + x)
6.3 + 0.4x = (14 * 0.42 + x * 0.42)
6.3 + 0.4x = (5.88 + 0.42x)

Solving
6.3 + 0.4x = 5.88 + 0.42x

Solving for variable 'x'.

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

Add '-0.42x' to each side of the equation.
6.3 + 0.4x + -0.42x = 5.88 + 0.42x + -0.42x

Combine like terms: 0.4x + -0.42x = -0.02x
6.3 + -0.02x = 5.88 + 0.42x + -0.42x

Combine like terms: 0.42x + -0.42x = 0.00
6.3 + -0.02x = 5.88 + 0.00
6.3 + -0.02x = 5.88

Add '-6.3' to each side of the equation.
6.3 + -6.3 + -0.02x = 5.88 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + -0.02x = 5.88 + -6.3
-0.02x = 5.88 + -6.3

Combine like terms: 5.88 + -6.3 = -0.42
-0.02x = -0.42

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

Simplifying
x = 21