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

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

Solve for x

$$x=-\frac{8}{17}\approx -0.470588235$$

Steps for Solving Linear Equation

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

$$4\left(x+1\right)=3\left(7x+4\right)$$

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

$$4x+4=3\left(7x+4\right)$$

Use the distributive property to multiply 3 by 7x+4.

$$4x+4=21x+12$$

Subtract 21x from both sides.

$$4x+4-21x=12$$

Combine 4x and -21x to get -17x.

$$-17x+4=12$$

Subtract 4 from both sides.

$$-17x=12-4$$

Subtract 4 from 12 to get 8.

$$-17x=8$$

Divide both sides by -17.

$$x=\frac{8}{-17}$$

Fraction \frac{8}{-17} can be rewritten as -\frac{8}{17} by extracting the negative sign.

$$x=-\frac{8}{17}$$