x+(x+13)+(2x-15)=470

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Solution for x+(x+13)+(2x-15)=470 equation:


Simplifying
x + (x + 13) + (2x + -15) = 470

Reorder the terms:
x + (13 + x) + (2x + -15) = 470

Remove parenthesis around (13 + x)
x + 13 + x + (2x + -15) = 470

Reorder the terms:
x + 13 + x + (-15 + 2x) = 470

Remove parenthesis around (-15 + 2x)
x + 13 + x + -15 + 2x = 470

Reorder the terms:
13 + -15 + x + x + 2x = 470

Combine like terms: 13 + -15 = -2
-2 + x + x + 2x = 470

Combine like terms: x + x = 2x
-2 + 2x + 2x = 470

Combine like terms: 2x + 2x = 4x
-2 + 4x = 470

Solving
-2 + 4x = 470

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x = 470 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 470 + 2
4x = 470 + 2

Combine like terms: 470 + 2 = 472
4x = 472

Divide each side by '4'.
x = 118

Simplifying
x = 118

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