What is the answer to 3/4 (2-x)=x+1 ?

The answer to 3/4 (2-x)=x+1 is x= 2/7

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3/4 (2-x)=x+1

\frac{3}{4} (2 - x) = x + 1

x = \frac{2}{7}

Solution steps

\frac{3}{4} (2 - x) = x + 1

Expand

\frac{3}{4} (2 - x) : \frac{3}{2} - \frac{3}{4} x

\frac{3}{2} - \frac{3}{4} x = x + 1

Move

\frac{3}{2}

to the right side

- \frac{3}{4} x = x - \frac{1}{2}

Move

x

to the left side

- \frac{7}{4} x = - \frac{1}{2}

Multiply both sides by

4

- 7 x = - 2

Divide both sides by

- 7

x = \frac{2}{7}

4 x - 5 = 6 x + 3

x, - 2 x + 4 y = 20

x - \frac{1}{2} b = \frac{1}{4} b

6 - x = 5 x + 2

20 + g + g = 14