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

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


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

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

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

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

Combine like terms: 5x + 3x = 8x
-3 + 8x = 13

Solving
-3 + 8x = 13

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 8x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 13 + 3
8x = 13 + 3

Combine like terms: 13 + 3 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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