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

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

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+1.

$$2x+2-3\left(x-2\right)=4-3\left(x+1\right)$$

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

$$2x+2-3x+6=4-3\left(x+1\right)$$

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

$$-x+2+6=4-3\left(x+1\right)$$

Add 2 and 6 to get 8.

$$-x+8=4-3\left(x+1\right)$$

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

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

Subtract 3 from 4 to get 1.

$$-x+8=1-3x$$

Add 3x to both sides.

$$-x+8+3x=1$$

Combine -x and 3x to get 2x.

$$2x+8=1$$

Subtract 8 from both sides.

$$2x=1-8$$

Subtract 8 from 1 to get -7.

$$2x=-7$$

Divide both sides by 2.

$$x=\frac{-7}{2}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$x=-\frac{7}{2}$$