Solve 7x+2(x-6)=5(x+1)-4

$$7x+2(x-6)=5(x+1)-4$$

Solve for x

$$x = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-6.

$$7x+2x-12=5\left(x+1\right)-4$$

Combine 7x and 2x to get 9x.

$$9x-12=5\left(x+1\right)-4$$

Use the distributive property to multiply 5 by x+1.

$$9x-12=5x+5-4$$

Subtract 4 from 5 to get 1.

$$9x-12=5x+1$$

Subtract 5x from both sides.

$$9x-12-5x=1$$

Combine 9x and -5x to get 4x.

$$4x-12=1$$

Add 12 to both sides.

$$4x=1+12$$

Add 1 and 12 to get 13.

$$4x=13$$

Divide both sides by 4.

$$x=\frac{13}{4}$$