Solve 3(x-5)-2(x+2)=-9x+6

$$3 ( x - 5 ) - 2 ( x + 2 ) = - 9 x + 6$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

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

$$3x-15-2\left(x+2\right)=-9x+6$$

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

$$3x-15-2x-4=-9x+6$$

Combine 3x and -2x to get x.

$$x-15-4=-9x+6$$

Subtract 4 from -15 to get -19.

$$x-19=-9x+6$$

Add 9x to both sides.

$$x-19+9x=6$$

Combine x and 9x to get 10x.

$$10x-19=6$$

Add 19 to both sides.

$$10x=6+19$$

Add 6 and 19 to get 25.

$$10x=25$$

Divide both sides by 10.

$$x=\frac{25}{10}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{5}{2}$$