2(x-2)+(x-5)=6

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Solution for 2(x-2)+(x-5)=6 equation:


Simplifying
2(x + -2) + (x + -5) = 6

Reorder the terms:
2(-2 + x) + (x + -5) = 6
(-2 * 2 + x * 2) + (x + -5) = 6
(-4 + 2x) + (x + -5) = 6

Reorder the terms:
-4 + 2x + (-5 + x) = 6

Remove parenthesis around (-5 + x)
-4 + 2x + -5 + x = 6

Reorder the terms:
-4 + -5 + 2x + x = 6

Combine like terms: -4 + -5 = -9
-9 + 2x + x = 6

Combine like terms: 2x + x = 3x
-9 + 3x = 6

Solving
-9 + 3x = 6

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 6 + 9
3x = 6 + 9

Combine like terms: 6 + 9 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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