x+(3x-5)+2(3x-5)=65

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Solution for x+(3x-5)+2(3x-5)=65 equation:


Simplifying
x + (3x + -5) + 2(3x + -5) = 65

Reorder the terms:
x + (-5 + 3x) + 2(3x + -5) = 65

Remove parenthesis around (-5 + 3x)
x + -5 + 3x + 2(3x + -5) = 65

Reorder the terms:
x + -5 + 3x + 2(-5 + 3x) = 65
x + -5 + 3x + (-5 * 2 + 3x * 2) = 65
x + -5 + 3x + (-10 + 6x) = 65

Reorder the terms:
-5 + -10 + x + 3x + 6x = 65

Combine like terms: -5 + -10 = -15
-15 + x + 3x + 6x = 65

Combine like terms: x + 3x = 4x
-15 + 4x + 6x = 65

Combine like terms: 4x + 6x = 10x
-15 + 10x = 65

Solving
-15 + 10x = 65

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 + 10x = 65 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 65 + 15
10x = 65 + 15

Combine like terms: 65 + 15 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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