Solve 15+(2x-5)9=5(2x+7)+12+3

$$15 + ( 2 x - 5 ) 9 = 5 ( 2 x + 7 ) + 12 + 3$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x-5 by 9.

$$15+18x-45=5\left(2x+7\right)+12+3$$

Subtract 45 from 15 to get -30.

$$-30+18x=5\left(2x+7\right)+12+3$$

Use the distributive property to multiply 5 by 2x+7.

$$-30+18x=10x+35+12+3$$

Add 35 and 12 to get 47.

$$-30+18x=10x+47+3$$

Add 47 and 3 to get 50.

$$-30+18x=10x+50$$

Subtract 10x from both sides.

$$-30+18x-10x=50$$

Combine 18x and -10x to get 8x.

$$-30+8x=50$$

Add 30 to both sides.

$$8x=50+30$$

Add 50 and 30 to get 80.

$$8x=80$$

Divide both sides by 8.

$$x=\frac{80}{8}$$

Divide 80 by 8 to get 10.

$$x=10$$