0.14(x+5)-.42=0.50(x+3)

Solution for 0.14(x+5)-.42=0.50(x+3) equation:

Simplifying
0.14(x + 5) + -0.42 = 0.50(x + 3)

Reorder the terms:
0.14(5 + x) + -0.42 = 0.50(x + 3)
(5 * 0.14 + x * 0.14) + -0.42 = 0.50(x + 3)
(0.7 + 0.14x) + -0.42 = 0.50(x + 3)

Reorder the terms:
0.7 + -0.42 + 0.14x = 0.50(x + 3)

Combine like terms: 0.7 + -0.42 = 0.28
0.28 + 0.14x = 0.50(x + 3)

Reorder the terms:
0.28 + 0.14x = 0.50(3 + x)
0.28 + 0.14x = (3 * 0.50 + x * 0.50)
0.28 + 0.14x = (1.5 + 0.50x)

Solving
0.28 + 0.14x = 1.5 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
0.28 + 0.14x + -0.50x = 1.5 + 0.50x + -0.50x

Combine like terms: 0.14x + -0.50x = -0.36x
0.28 + -0.36x = 1.5 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
0.28 + -0.36x = 1.5 + 0.00
0.28 + -0.36x = 1.5

Add '-0.28' to each side of the equation.
0.28 + -0.28 + -0.36x = 1.5 + -0.28

Combine like terms: 0.28 + -0.28 = 0.00
0.00 + -0.36x = 1.5 + -0.28
-0.36x = 1.5 + -0.28

Combine like terms: 1.5 + -0.28 = 1.22
-0.36x = 1.22

Divide each side by '-0.36'.
x = -3.388888889

Simplifying
x = -3.388888889