.3(x+14)=.1(x+40)

Solution for .3(x+14)=.1(x+40) equation:

Simplifying
0.3(x + 14) = 0.1(x + 40)

Reorder the terms:
0.3(14 + x) = 0.1(x + 40)
(14 * 0.3 + x * 0.3) = 0.1(x + 40)
(4.2 + 0.3x) = 0.1(x + 40)

Reorder the terms:
4.2 + 0.3x = 0.1(40 + x)
4.2 + 0.3x = (40 * 0.1 + x * 0.1)
4.2 + 0.3x = (4 + 0.1x)

Solving
4.2 + 0.3x = 4 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
4.2 + 0.3x + -0.1x = 4 + 0.1x + -0.1x

Combine like terms: 0.3x + -0.1x = 0.2x
4.2 + 0.2x = 4 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
4.2 + 0.2x = 4 + 0.0
4.2 + 0.2x = 4

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 0.2x = 4 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 0.2x = 4 + -4.2
0.2x = 4 + -4.2

Combine like terms: 4 + -4.2 = -0.2
0.2x = -0.2

Divide each side by '0.2'.
x = -1

Simplifying
x = -1