Solve 1-2x/3=x-8x-6/7

$$\frac { 1 - 2 x } { 3 } = x - \frac { 8 x - 6 } { 7 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(1-2x\right)=21x-3\left(8x-6\right)$$

Use the distributive property to multiply 7 by 1-2x.

$$7-14x=21x-3\left(8x-6\right)$$

Use the distributive property to multiply -3 by 8x-6.

$$7-14x=21x-24x+18$$

Combine 21x and -24x to get -3x.

$$7-14x=-3x+18$$

Add 3x to both sides.

$$7-14x+3x=18$$

Combine -14x and 3x to get -11x.

$$7-11x=18$$

Subtract 7 from both sides.

$$-11x=18-7$$

Subtract 7 from 18 to get 11.

$$-11x=11$$

Divide both sides by -11.

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

Divide 11 by -11 to get -1.

$$x=-1$$