0.40x+0.05(2-x)=0.10(43)

Solution for 0.40x+0.05(2-x)=0.10(43) equation:

Simplifying
0.40x + 0.05(2 + -1x) = 0.10(43)
0.40x + (2 * 0.05 + -1x * 0.05) = 0.10(43)
0.40x + (0.1 + -0.05x) = 0.10(43)

Reorder the terms:
0.1 + 0.40x + -0.05x = 0.10(43)

Combine like terms: 0.40x + -0.05x = 0.35x
0.1 + 0.35x = 0.10(43)

Multiply 0.10 * 43
0.1 + 0.35x = 4.3

Solving
0.1 + 0.35x = 4.3

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.35x = 4.3 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.35x = 4.3 + -0.1
0.35x = 4.3 + -0.1

Combine like terms: 4.3 + -0.1 = 4.2
0.35x = 4.2

Divide each side by '0.35'.
x = 12

Simplifying
x = 12