.3(60)+.2(40)=x(60+40)

Solution for .3(60)+.2(40)=x(60+40) equation:

Simplifying
0.3(60) + 0.2(40) = x(60 + 40)

Multiply 0.3 * 60
18 + 0.2(40) = x(60 + 40)

Multiply 0.2 * 40
18 + 8 = x(60 + 40)

Combine like terms: 18 + 8 = 26
26 = x(60 + 40)

Combine like terms: 60 + 40 = 100
26 = x(100)

Reorder the terms for easier multiplication:
26 = 100x

Solving
26 = 100x

Solving for variable 'x'.

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

Add '-100x' to each side of the equation.
26 + -100x = 100x + -100x

Combine like terms: 100x + -100x = 0
26 + -100x = 0

Add '-26' to each side of the equation.
26 + -26 + -100x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -100x = 0 + -26
-100x = 0 + -26

Combine like terms: 0 + -26 = -26
-100x = -26

Divide each side by '-100'.
x = 0.26

Simplifying
x = 0.26