Solve 4=9/4(x-4)+4

$$4 = \frac { 9 } { 4 } ( x - 4 ) + 4$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{9}{4} by x-4.

$$4=\frac{9}{4}x+\frac{9}{4}\left(-4\right)+4$$

Express \frac{9}{4}\left(-4\right) as a single fraction.

$$4=\frac{9}{4}x+\frac{9\left(-4\right)}{4}+4$$

Multiply 9 and -4 to get -36.

$$4=\frac{9}{4}x+\frac{-36}{4}+4$$

Divide -36 by 4 to get -9.

$$4=\frac{9}{4}x-9+4$$

Add -9 and 4 to get -5.

$$4=\frac{9}{4}x-5$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{9}{4}x-5=4$$

Add 5 to both sides.

$$\frac{9}{4}x=4+5$$

Add 4 and 5 to get 9.

$$\frac{9}{4}x=9$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$x=9\times \frac{4}{9}$$

Cancel out 9 and 9.

$$x=4$$