2(x-1)+3x=13

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Solution for 2(x-1)+3x=13 equation:


Simplifying
2(x + -1) + 3x = 13

Reorder the terms:
2(-1 + x) + 3x = 13
(-1 * 2 + x * 2) + 3x = 13
(-2 + 2x) + 3x = 13

Combine like terms: 2x + 3x = 5x
-2 + 5x = 13

Solving
-2 + 5x = 13

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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