2x+3(x+1)-13=0

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Solution for 2x+3(x+1)-13=0 equation:


Simplifying
2x + 3(x + 1) + -13 = 0

Reorder the terms:
2x + 3(1 + x) + -13 = 0
2x + (1 * 3 + x * 3) + -13 = 0
2x + (3 + 3x) + -13 = 0

Reorder the terms:
3 + -13 + 2x + 3x = 0

Combine like terms: 3 + -13 = -10
-10 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-10 + 5x = 0

Solving
-10 + 5x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 0 + 10
5x = 0 + 10

Combine like terms: 0 + 10 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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