Solve x-2=3/2(x-4)

$$x - 2 = \frac { 3 } { 2 } ( x - 4 )$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2} by x-4.

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

Express \frac{3}{2}\left(-4\right) as a single fraction.

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

Multiply 3 and -4 to get -12.

$$x-2=\frac{3}{2}x+\frac{-12}{2}$$

Divide -12 by 2 to get -6.

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

Subtract \frac{3}{2}x from both sides.

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

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

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

Add 2 to both sides.

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

Add -6 and 2 to get -4.

$$-\frac{1}{2}x=-4$$

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

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

Multiply -4 and -2 to get 8.

$$x=8$$