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

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2}x-2 by 3.

$$\frac{1}{2}x\times 3-6+1=x$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\frac{3}{2}x-6+1=x$$

Add -6 and 1 to get -5.

$$\frac{3}{2}x-5=x$$

Subtract x from both sides.

$$\frac{3}{2}x-5-x=0$$

Combine \frac{3}{2}x and -x to get \frac{1}{2}x.

$$\frac{1}{2}x-5=0$$

Add 5 to both sides. Anything plus zero gives itself.

$$\frac{1}{2}x=5$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=5\times 2$$

Multiply 5 and 2 to get 10.

$$x=10$$