Solve 5x+4/3-1=3x-2/4

$$\frac { 5 x + 4 } { 3 } - 1 = \frac { 3 x - 2 } { 4 }$$

Solve for x

$$x=-\frac{10}{11}\approx -0.909090909$$

Steps for Solving Linear Equation

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

$$4\left(5x+4\right)-12=3\left(3x-2\right)$$

Use the distributive property to multiply 4 by 5x+4.

$$20x+16-12=3\left(3x-2\right)$$

Subtract 12 from 16 to get 4.

$$20x+4=3\left(3x-2\right)$$

Use the distributive property to multiply 3 by 3x-2.

$$20x+4=9x-6$$

Subtract 9x from both sides.

$$20x+4-9x=-6$$

Combine 20x and -9x to get 11x.

$$11x+4=-6$$

Subtract 4 from both sides.

$$11x=-6-4$$

Subtract 4 from -6 to get -10.

$$11x=-10$$

Divide both sides by 11.

$$x=\frac{-10}{11}$$

Fraction \frac{-10}{11} can be rewritten as -\frac{10}{11} by extracting the negative sign.

$$x=-\frac{10}{11}$$