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

$$\frac { 1 } { 2 } ( x + 1 ) = - 2 - \frac { 3 + 2 x } { 3 }$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

$$3\left(x+1\right)=-12-2\left(3+2x\right)$$

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

$$3x+3=-12-2\left(3+2x\right)$$

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

$$3x+3=-12-6-4x$$

Subtract 6 from -12 to get -18.

$$3x+3=-18-4x$$

Add 4x to both sides.

$$3x+3+4x=-18$$

Combine 3x and 4x to get 7x.

$$7x+3=-18$$

Subtract 3 from both sides.

$$7x=-18-3$$

Subtract 3 from -18 to get -21.

$$7x=-21$$

Divide both sides by 7.

$$x=\frac{-21}{7}$$

Divide -21 by 7 to get -3.

$$x=-3$$