Solve for x
x = \frac{16}{5} = 3\frac{1}{5} = 3.2
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Linear Equation
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\frac { 1 } { 3 } x = 2 \frac { 2 } { 3 } - \frac { x } { 2 }
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2x=2\left(2\times 3+2\right)-3x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x=2\left(6+2\right)-3x
Multiply 2 and 3 to get 6.
2x=2\times 8-3x
Add 6 and 2 to get 8.
2x=16-3x
Multiply 2 and 8 to get 16.
2x+3x=16
Add 3x to both sides.
5x=16
Combine 2x and 3x to get 5x.
x=\frac{16}{5}
Divide both sides by 5.
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