1000=(40*x)+(10(x*1.5))

Solution for 1000=(40*x)+(10(x*1.5)) equation:

Simplifying
1000 = (40x) + (10(x * 1.5))

Reorder the terms for easier multiplication:
1000 = (40x) + (10(1.5x))

Remove parenthesis around (1.5x)
1000 = (40x) + (10 * 1.5x)

Multiply 10 * 1.5
1000 = (40x) + (15x)

Combine like terms: (40x) + (15x) = 55x
1000 = 55x

Solving
1000 = 55x

Solving for variable 'x'.

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

Add '-55x' to each side of the equation.
1000 + -55x = 55x + -55x

Combine like terms: 55x + -55x = 0
1000 + -55x = 0

Add '-1000' to each side of the equation.
1000 + -1000 + -55x = 0 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -55x = 0 + -1000
-55x = 0 + -1000

Combine like terms: 0 + -1000 = -1000
-55x = -1000

Divide each side by '-55'.
x = 18.18181818

Simplifying
x = 18.18181818