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

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

Solve for x

$$x = \frac{29}{12} = 2\frac{5}{12} \approx 2.416666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-4.

$$7x-28-2=4-5\left(x+1\right)$$

Subtract 2 from -28 to get -30.

$$7x-30=4-5\left(x+1\right)$$

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

$$7x-30=4-5x-5$$

Subtract 5 from 4 to get -1.

$$7x-30=-1-5x$$

Add 5x to both sides.

$$7x-30+5x=-1$$

Combine 7x and 5x to get 12x.

$$12x-30=-1$$

Add 30 to both sides.

$$12x=-1+30$$

Add -1 and 30 to get 29.

$$12x=29$$

Divide both sides by 12.

$$x=\frac{29}{12}$$