x+(x-5)+2(x-5)=33

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Solution for x+(x-5)+2(x-5)=33 equation:


Simplifying
x + (x + -5) + 2(x + -5) = 33

Reorder the terms:
x + (-5 + x) + 2(x + -5) = 33

Remove parenthesis around (-5 + x)
x + -5 + x + 2(x + -5) = 33

Reorder the terms:
x + -5 + x + 2(-5 + x) = 33
x + -5 + x + (-5 * 2 + x * 2) = 33
x + -5 + x + (-10 + 2x) = 33

Reorder the terms:
-5 + -10 + x + x + 2x = 33

Combine like terms: -5 + -10 = -15
-15 + x + x + 2x = 33

Combine like terms: x + x = 2x
-15 + 2x + 2x = 33

Combine like terms: 2x + 2x = 4x
-15 + 4x = 33

Solving
-15 + 4x = 33

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 4x = 33 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 33 + 15
4x = 33 + 15

Combine like terms: 33 + 15 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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