4(9x-5)+40=10(3x+17)

Solution for 4(9x-5)+40=10(3x+17) equation:

Simplifying
4(9x + -5) + 40 = 10(3x + 17)

Reorder the terms:
4(-5 + 9x) + 40 = 10(3x + 17)
(-5 * 4 + 9x * 4) + 40 = 10(3x + 17)
(-20 + 36x) + 40 = 10(3x + 17)

Reorder the terms:
-20 + 40 + 36x = 10(3x + 17)

Combine like terms: -20 + 40 = 20
20 + 36x = 10(3x + 17)

Reorder the terms:
20 + 36x = 10(17 + 3x)
20 + 36x = (17 * 10 + 3x * 10)
20 + 36x = (170 + 30x)

Solving
20 + 36x = 170 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
20 + 36x + -30x = 170 + 30x + -30x

Combine like terms: 36x + -30x = 6x
20 + 6x = 170 + 30x + -30x

Combine like terms: 30x + -30x = 0
20 + 6x = 170 + 0
20 + 6x = 170

Add '-20' to each side of the equation.
20 + -20 + 6x = 170 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 170 + -20
6x = 170 + -20

Combine like terms: 170 + -20 = 150
6x = 150

Divide each side by '6'.
x = 25

Simplifying
x = 25