Solve 3(x+2)-2(x-3/2)=5-4x

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

Solve for x

$$x=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

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

$$3x+6-2\left(x-\frac{3}{2}\right)=5-4x$$

Use the distributive property to multiply -2 by x-\frac{3}{2}.

$$3x+6-2x-2\left(-\frac{3}{2}\right)=5-4x$$

Multiply -2 times -\frac{3}{2}.

$$3x+6-2x+3=5-4x$$

Combine 3x and -2x to get x.

$$x+6+3=5-4x$$

Add 6 and 3 to get 9.

$$x+9=5-4x$$

Add 4x to both sides.

$$x+9+4x=5$$

Combine x and 4x to get 5x.

$$5x+9=5$$

Subtract 9 from both sides.

$$5x=5-9$$

Subtract 9 from 5 to get -4.

$$5x=-4$$

Divide both sides by 5.

$$x=\frac{-4}{5}$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$x=-\frac{4}{5}$$