4x+6=-x+16

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Solution for 4x+6=-x+16 equation:


Simplifying
4x + 6 = -1x + 16

Reorder the terms:
6 + 4x = -1x + 16

Reorder the terms:
6 + 4x = 16 + -1x

Solving
6 + 4x = 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.
6 + 4x + x = 16 + -1x + x

Combine like terms: 4x + x = 5x
6 + 5x = 16 + -1x + x

Combine like terms: -1x + x = 0
6 + 5x = 16 + 0
6 + 5x = 16

Add '-6' to each side of the equation.
6 + -6 + 5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 16 + -6
5x = 16 + -6

Combine like terms: 16 + -6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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