(.40)(4)+x=(.50)(4+x)

Solution for (.40)(4)+x=(.50)(4+x) equation:

Simplifying
(0.40)(4) + x = (0.50)(4 + x)

Multiply 0.40 * 4
1.6 + x = (0.50)(4 + x)
1.6 + x = (4 * 0.50 + x * 0.50)
1.6 + x = (2 + 0.50x)

Solving
1.6 + x = 2 + 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.
1.6 + x + -0.50x = 2 + 0.50x + -0.50x

Combine like terms: x + -0.50x = 0.5x
1.6 + 0.5x = 2 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
1.6 + 0.5x = 2 + 0.00
1.6 + 0.5x = 2

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.5x = 2 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.5x = 2 + -1.6
0.5x = 2 + -1.6

Combine like terms: 2 + -1.6 = 0.4
0.5x = 0.4

Divide each side by '0.5'.
x = 0.8

Simplifying
x = 0.8