Solve 3/4x-x-7/6=7/4x

$$\frac { 3 } { 4 } x - \frac { x - 7 } { 6 } = \frac { 7 } { 4 } x$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$9x-2\left(x-7\right)=21x$$

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

$$9x-2x+14=21x$$

Combine 9x and -2x to get 7x.

$$7x+14=21x$$

Subtract 21x from both sides.

$$7x+14-21x=0$$

Combine 7x and -21x to get -14x.

$$-14x+14=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$-14x=-14$$

Divide both sides by -14.

$$x=\frac{-14}{-14}$$

Divide -14 by -14 to get 1.

$$x=1$$