Solve 3+4x-1/3=5x+7/4+x

$$3 + \frac { 4 x - 1 } { 3 } = \frac { 5 x + 7 } { 4 } + x$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$36+4\left(4x-1\right)=3\left(5x+7\right)+12x$$

Use the distributive property to multiply 4 by 4x-1.

$$36+16x-4=3\left(5x+7\right)+12x$$

Subtract 4 from 36 to get 32.

$$32+16x=3\left(5x+7\right)+12x$$

Use the distributive property to multiply 3 by 5x+7.

$$32+16x=15x+21+12x$$

Combine 15x and 12x to get 27x.

$$32+16x=27x+21$$

Subtract 27x from both sides.

$$32+16x-27x=21$$

Combine 16x and -27x to get -11x.

$$32-11x=21$$

Subtract 32 from both sides.

$$-11x=21-32$$

Subtract 32 from 21 to get -11.

$$-11x=-11$$

Divide both sides by -11.

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

Divide -11 by -11 to get 1.

$$x=1$$