2(x-3)+(x-2)=23

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Solution for 2(x-3)+(x-2)=23 equation:


Simplifying
2(x + -3) + (x + -2) = 23

Reorder the terms:
2(-3 + x) + (x + -2) = 23
(-3 * 2 + x * 2) + (x + -2) = 23
(-6 + 2x) + (x + -2) = 23

Reorder the terms:
-6 + 2x + (-2 + x) = 23

Remove parenthesis around (-2 + x)
-6 + 2x + -2 + x = 23

Reorder the terms:
-6 + -2 + 2x + x = 23

Combine like terms: -6 + -2 = -8
-8 + 2x + x = 23

Combine like terms: 2x + x = 3x
-8 + 3x = 23

Solving
-8 + 3x = 23

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 23 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 23 + 8
3x = 23 + 8

Combine like terms: 23 + 8 = 31
3x = 31

Divide each side by '3'.
x = 10.33333333

Simplifying
x = 10.33333333

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