Solve 13*6+0.7x=1.1*(6+x)

$$13 \cdot 6 + 0.7 x = 1.1 \cdot ( 6 + x )$$

Solve for x

$$x=178.5$$

Steps for Solving Linear Equation

Multiply 13 and 6 to get 78.

$$78+0.7x=1.1\left(6+x\right)$$

Use the distributive property to multiply 1.1 by 6+x.

$$78+0.7x=6.6+1.1x$$

Subtract 1.1x from both sides.

$$78+0.7x-1.1x=6.6$$

Combine 0.7x and -1.1x to get -0.4x.

$$78-0.4x=6.6$$

Subtract 78 from both sides.

$$-0.4x=6.6-78$$

Subtract 78 from 6.6 to get -71.4.

$$-0.4x=-71.4$$

Divide both sides by -0.4.

$$x=\frac{-71.4}{-0.4}$$

Expand \frac{-71.4}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-714}{-4}$$

Reduce the fraction \frac{-714}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{357}{2}$$