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

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

Solve for x

$$x = -\frac{12}{7} = -1\frac{5}{7} \approx -1.714285714$$

Steps for Solving Linear Equation

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

$$4\left(2x+3\right)=3\times 5x+24$$

Use the distributive property to multiply 4 by 2x+3.

$$8x+12=3\times 5x+24$$

Multiply 3 and 5 to get 15.

$$8x+12=15x+24$$

Subtract 15x from both sides.

$$8x+12-15x=24$$

Combine 8x and -15x to get -7x.

$$-7x+12=24$$

Subtract 12 from both sides.

$$-7x=24-12$$

Subtract 12 from 24 to get 12.

$$-7x=12$$

Divide both sides by -7.

$$x=\frac{12}{-7}$$

Fraction \frac{12}{-7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$x=-\frac{12}{7}$$