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

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

Solve for x

$$x=20$$

Steps for Solving Linear Equation

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

$$x-2=\frac{3}{4}x+\frac{3}{4}\times 4$$

Cancel out 4 and 4.

$$x-2=\frac{3}{4}x+3$$

Subtract \frac{3}{4}x from both sides.

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

Combine x and -\frac{3}{4}x to get \frac{1}{4}x.

$$\frac{1}{4}x-2=3$$

Add 2 to both sides.

$$\frac{1}{4}x=3+2$$

Add 3 and 2 to get 5.

$$\frac{1}{4}x=5$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=5\times 4$$

Multiply 5 and 4 to get 20.

$$x=20$$