x+(2*x)*5+(x+5)*10=470

Solution for x+(2*x)*5+(x+5)*10=470 equation:

Simplifying
x + (2x) * 5 + (x + 5) * 10 = 470

Remove parenthesis around (2x)
x + 2x * 5 + (x + 5) * 10 = 470

Reorder the terms for easier multiplication:
x + 2 * 5x + (x + 5) * 10 = 470

Multiply 2 * 5
x + 10x + (x + 5) * 10 = 470

Reorder the terms:
x + 10x + (5 + x) * 10 = 470

Reorder the terms for easier multiplication:
x + 10x + 10(5 + x) = 470
x + 10x + (5 * 10 + x * 10) = 470
x + 10x + (50 + 10x) = 470

Reorder the terms:
50 + x + 10x + 10x = 470

Combine like terms: x + 10x = 11x
50 + 11x + 10x = 470

Combine like terms: 11x + 10x = 21x
50 + 21x = 470

Solving
50 + 21x = 470

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 21x = 470 + -50

Combine like terms: 50 + -50 = 0
0 + 21x = 470 + -50
21x = 470 + -50

Combine like terms: 470 + -50 = 420
21x = 420

Divide each side by '21'.
x = 20

Simplifying
x = 20