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

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

Solve for x

$$x = -\frac{13}{5} = -2\frac{3}{5} = -2.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

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

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

$$8x+4=3\left(x-3\right)$$

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

$$8x+4=3x-9$$

Subtract 3x from both sides.

$$8x+4-3x=-9$$

Combine 8x and -3x to get 5x.

$$5x+4=-9$$

Subtract 4 from both sides.

$$5x=-9-4$$

Subtract 4 from -9 to get -13.

$$5x=-13$$

Divide both sides by 5.

$$x=\frac{-13}{5}$$

Fraction \frac{-13}{5} can be rewritten as -\frac{13}{5} by extracting the negative sign.

$$x=-\frac{13}{5}$$