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

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

Solve for x

$$x = \frac{15}{8} = 1\frac{7}{8} = 1.875$$

Steps for Solving Linear Equation

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

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

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

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

Subtract 6 from 15 to get 9.

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

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

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

Add 9 and 40 to get 49.

$$-x+9=49-20x+3x-12+2$$

Combine -20x and 3x to get -17x.

$$-x+9=49-17x-12+2$$

Subtract 12 from 49 to get 37.

$$-x+9=37-17x+2$$

Add 37 and 2 to get 39.

$$-x+9=39-17x$$

Add 17x to both sides.

$$-x+9+17x=39$$

Combine -x and 17x to get 16x.

$$16x+9=39$$

Subtract 9 from both sides.

$$16x=39-9$$

Subtract 9 from 39 to get 30.

$$16x=30$$

Divide both sides by 16.

$$x=\frac{30}{16}$$

Reduce the fraction \frac{30}{16} to lowest terms by extracting and canceling out 2.

$$x=\frac{15}{8}$$