2x+1=-x+16

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Solution for 2x+1=-x+16 equation:


Simplifying
2x + 1 = -1x + 16

Reorder the terms:
1 + 2x = -1x + 16

Reorder the terms:
1 + 2x = 16 + -1x

Solving
1 + 2x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 2x + x = 16 + -1x + x

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

Combine like terms: -1x + x = 0
1 + 3x = 16 + 0
1 + 3x = 16

Add '-1' to each side of the equation.
1 + -1 + 3x = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 16 + -1
3x = 16 + -1

Combine like terms: 16 + -1 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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