Solve 1-4/7x=23+x

$$1 - \frac { 4 } { 7 } x = 23 + x$$

Solve for x

$$x=-14$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$1-\frac{4}{7}x-x=23$$

Combine -\frac{4}{7}x and -x to get -\frac{11}{7}x.

$$1-\frac{11}{7}x=23$$

Subtract 1 from both sides.

$$-\frac{11}{7}x=23-1$$

Subtract 1 from 23 to get 22.

$$-\frac{11}{7}x=22$$

Multiply both sides by -\frac{7}{11}, the reciprocal of -\frac{11}{7}.

$$x=22\left(-\frac{7}{11}\right)$$

Express 22\left(-\frac{7}{11}\right) as a single fraction.

$$x=\frac{22\left(-7\right)}{11}$$

Multiply 22 and -7 to get -154.

$$x=\frac{-154}{11}$$

Divide -154 by 11 to get -14.

$$x=-14$$