2(x-4)+(x-3)=13

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Solution for 2(x-4)+(x-3)=13 equation: 


Simplifying
2(x + -4) + (x + -3) = 13

Reorder the terms:
2(-4 + x) + (x + -3) = 13
(-4 * 2 + x * 2) + (x + -3) = 13
(-8 + 2x) + (x + -3) = 13

Reorder the terms:
-8 + 2x + (-3 + x) = 13

Remove parenthesis around (-3 + x)
-8 + 2x + -3 + x = 13

Reorder the terms:
-8 + -3 + 2x + x = 13

Combine like terms: -8 + -3 = -11
-11 + 2x + x = 13

Combine like terms: 2x + x = 3x
-11 + 3x = 13

Solving
-11 + 3x = 13

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 13 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 13 + 11
3x = 13 + 11

Combine like terms: 13 + 11 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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