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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

Use the distributive property to multiply 6 by -x+2.

$$x+6\left(-x\right)+12=-6+4x$$

Subtract 4x from both sides.

$$x+6\left(-x\right)+12-4x=-6$$

Combine x and -4x to get -3x.

$$-3x+6\left(-x\right)+12=-6$$

Subtract 12 from both sides.

$$-3x+6\left(-x\right)=-6-12$$

Subtract 12 from -6 to get -18.

$$-3x+6\left(-x\right)=-18$$

Multiply 6 and -1 to get -6.

$$-3x-6x=-18$$

Combine -3x and -6x to get -9x.

$$-9x=-18$$

Divide both sides by -9.

$$x=\frac{-18}{-9}$$

Divide -18 by -9 to get 2.

$$x=2$$