Solve 5x+15-6(x+1)=9x-10(2x-4)+3x-12+2

$$5x+15-6(x+1)=9x-10(2x-4)+3x-12+2$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by x+1.

$$5x+15-6x-6=9x-10\left(2x-4\right)+3x-12+2$$

Combine 5x and -6x to get -x.

$$-x+15-6=9x-10\left(2x-4\right)+3x-12+2$$

Subtract 6 from 15 to get 9.

$$-x+9=9x-10\left(2x-4\right)+3x-12+2$$

Use the distributive property to multiply -10 by 2x-4.

$$-x+9=9x-20x+40+3x-12+2$$

Combine 9x and -20x to get -11x.

$$-x+9=-11x+40+3x-12+2$$

Combine -11x and 3x to get -8x.

$$-x+9=-8x+40-12+2$$

Subtract 12 from 40 to get 28.

$$-x+9=-8x+28+2$$

Add 28 and 2 to get 30.

$$-x+9=-8x+30$$

Add 8x to both sides.

$$-x+9+8x=30$$

Combine -x and 8x to get 7x.

$$7x+9=30$$

Subtract 9 from both sides.

$$7x=30-9$$

Subtract 9 from 30 to get 21.

$$7x=21$$

Divide both sides by 7.

$$x=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$x=3$$