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

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


Simplifying
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

Multiply 5 * 10
x + (10x) + (x + 50) = 470

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

Remove parenthesis around (50 + x)
x + (10x) + 50 + x = 470

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

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

Combine like terms: 11x + x = 12x
50 + 12x = 470

Solving
50 + 12x = 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 + 12x = 470 + -50

Combine like terms: 50 + -50 = 0
0 + 12x = 470 + -50
12x = 470 + -50

Combine like terms: 470 + -50 = 420
12x = 420

Divide each side by '12'.
x = 35

Simplifying
x = 35

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