Solve 5*(2x-3)+2*(x-3)=3*(x+2)

$$5 \cdot ( 2 x - 3 ) + 2 \cdot ( x - 3 ) = 3 \cdot ( x + 2 )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x-3.

$$10x-15+2\left(x-3\right)=3\left(x+2\right)$$

Use the distributive property to multiply 2 by x-3.

$$10x-15+2x-6=3\left(x+2\right)$$

Combine 10x and 2x to get 12x.

$$12x-15-6=3\left(x+2\right)$$

Subtract 6 from -15 to get -21.

$$12x-21=3\left(x+2\right)$$

Use the distributive property to multiply 3 by x+2.

$$12x-21=3x+6$$

Subtract 3x from both sides.

$$12x-21-3x=6$$

Combine 12x and -3x to get 9x.

$$9x-21=6$$

Add 21 to both sides.

$$9x=6+21$$

Add 6 and 21 to get 27.

$$9x=27$$

Divide both sides by 9.

$$x=\frac{27}{9}$$

Divide 27 by 9 to get 3.

$$x=3$$