Solve 7left(x-5right)=3left(x+1right)

$$7 \left( x-5 \right) = 3 \left( x+1 \right)$$

Solve for x

$$x = \frac{19}{2} = 9\frac{1}{2} = 9.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-5.

$$7x-35=3\left(x+1\right)$$

Use the distributive property to multiply 3 by x+1.

$$7x-35=3x+3$$

Subtract 3x from both sides.

$$7x-35-3x=3$$

Combine 7x and -3x to get 4x.

$$4x-35=3$$

Add 35 to both sides.

$$4x=3+35$$

Add 3 and 35 to get 38.

$$4x=38$$

Divide both sides by 4.

$$x=\frac{38}{4}$$

Reduce the fraction \frac{38}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{2}$$