Solve (3x+45div9)div10+5*3=6*(3+x)-176div2

$$(3x+45 \div 9) \div 10+5 \times 3=6 \times (3+x)-176 \div 2$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 10,2.

$$3x+\frac{45}{9}+50\times 3=60\left(3+x\right)-5\times 176$$

Divide 45 by 9 to get 5.

$$3x+5+50\times 3=60\left(3+x\right)-5\times 176$$

Multiply 50 and 3 to get 150.

$$3x+5+150=60\left(3+x\right)-5\times 176$$

Add 5 and 150 to get 155.

$$3x+155=60\left(3+x\right)-5\times 176$$

Use the distributive property to multiply 60 by 3+x.

$$3x+155=180+60x-5\times 176$$

Multiply -5 and 176 to get -880.

$$3x+155=180+60x-880$$

Subtract 880 from 180 to get -700.

$$3x+155=-700+60x$$

Subtract 60x from both sides.

$$3x+155-60x=-700$$

Combine 3x and -60x to get -57x.

$$-57x+155=-700$$

Subtract 155 from both sides.

$$-57x=-700-155$$

Subtract 155 from -700 to get -855.

$$-57x=-855$$

Divide both sides by -57.

$$x=\frac{-855}{-57}$$

Divide -855 by -57 to get 15.

$$x=15$$