40x+(1.5(4)+x)=460

Solution for 40x+(1.5(4)+x)=460 equation:

Simplifying
40x + (1.5(4) + x) = 460

Multiply 1.5 * 4
40x + (6 + x) = 460

Remove parenthesis around (6 + x)
40x + 6 + x = 460

Reorder the terms:
6 + 40x + x = 460

Combine like terms: 40x + x = 41x
6 + 41x = 460

Solving
6 + 41x = 460

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 41x = 460 + -6

Combine like terms: 6 + -6 = 0
0 + 41x = 460 + -6
41x = 460 + -6

Combine like terms: 460 + -6 = 454
41x = 454

Divide each side by '41'.
x = 11.07317073

Simplifying
x = 11.07317073