Solve 3(x-1)-2(2+x)=3x-4

$$3 ( x - 1 ) - 2 ( 2 + x ) = 3 x - 4$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-1.

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

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

$$3x-3-4-2x=3x-4$$

Subtract 4 from -3 to get -7.

$$3x-7-2x=3x-4$$

Combine 3x and -2x to get x.

$$x-7=3x-4$$

Subtract 3x from both sides.

$$x-7-3x=-4$$

Combine x and -3x to get -2x.

$$-2x-7=-4$$

Add 7 to both sides.

$$-2x=-4+7$$

Add -4 and 7 to get 3.

$$-2x=3$$

Divide both sides by -2.

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

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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