5x-2(x+1)=13

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Solution for 5x-2(x+1)=13 equation:


Simplifying
5x + -2(x + 1) = 13

Reorder the terms:
5x + -2(1 + x) = 13
5x + (1 * -2 + x * -2) = 13
5x + (-2 + -2x) = 13

Reorder the terms:
-2 + 5x + -2x = 13

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

Solving
-2 + 3x = 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 + 3x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 13 + 2
3x = 13 + 2

Combine like terms: 13 + 2 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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