5x-13=2(x+1)

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


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

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

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

Solving
-13 + 5x = 2 + 2x

Solving for variable 'x'.

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

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

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

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 2 + 13

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

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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