2(x-1)+3(x+1)=16

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Solution for 2(x-1)+3(x+1)=16 equation: 


Simplifying
2(x + -1) + 3(x + 1) = 16

Reorder the terms:
2(-1 + x) + 3(x + 1) = 16
(-1 * 2 + x * 2) + 3(x + 1) = 16
(-2 + 2x) + 3(x + 1) = 16

Reorder the terms:
-2 + 2x + 3(1 + x) = 16
-2 + 2x + (1 * 3 + x * 3) = 16
-2 + 2x + (3 + 3x) = 16

Reorder the terms:
-2 + 3 + 2x + 3x = 16

Combine like terms: -2 + 3 = 1
1 + 2x + 3x = 16

Combine like terms: 2x + 3x = 5x
1 + 5x = 16

Solving
1 + 5x = 16

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 16 + -1
5x = 16 + -1

Combine like terms: 16 + -1 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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