Solve 10(7-x)+4+9=10x+7-x

$$10 ( 7 - x ) + 4 + 9 = 10 x + 7 - x$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by 7-x.

$$70-10x+4+9=10x+7-x$$

Add 70 and 4 to get 74.

$$74-10x+9=10x+7-x$$

Add 74 and 9 to get 83.

$$83-10x=10x+7-x$$

Combine 10x and -x to get 9x.

$$83-10x=9x+7$$

Subtract 9x from both sides.

$$83-10x-9x=7$$

Combine -10x and -9x to get -19x.

$$83-19x=7$$

Subtract 83 from both sides.

$$-19x=7-83$$

Subtract 83 from 7 to get -76.

$$-19x=-76$$

Divide both sides by -19.

$$x=\frac{-76}{-19}$$

Divide -76 by -19 to get 4.

$$x=4$$