Solve 2-x=4-3/5+2(7-x)

$$2-x= \frac{ 4-3 }{ 5+2 } (7-x)$$

Solve for x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Subtract 3 from 4 to get 1.

$$2-x=\frac{1}{5+2}\left(7-x\right)$$

Add 5 and 2 to get 7.

$$2-x=\frac{1}{7}\left(7-x\right)$$

Use the distributive property to multiply \frac{1}{7} by 7-x.

$$2-x=\frac{1}{7}\times 7+\frac{1}{7}\left(-1\right)x$$

Cancel out 7 and 7.

$$2-x=1+\frac{1}{7}\left(-1\right)x$$

Multiply \frac{1}{7} and -1 to get -\frac{1}{7}.

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

Add \frac{1}{7}x to both sides.

$$2-x+\frac{1}{7}x=1$$

Combine -x and \frac{1}{7}x to get -\frac{6}{7}x.

$$2-\frac{6}{7}x=1$$

Subtract 2 from both sides.

$$-\frac{6}{7}x=1-2$$

Subtract 2 from 1 to get -1.

$$-\frac{6}{7}x=-1$$

Multiply both sides by -\frac{7}{6}, the reciprocal of -\frac{6}{7}.

$$x=-\left(-\frac{7}{6}\right)$$

Multiply -1 and -\frac{7}{6} to get \frac{7}{6}.

$$x=\frac{7}{6}$$