Solve x/4=1/2x/4+1/2*frac{x}{70}+frac{27}{80}

$$\frac { x } { 4 } = \frac { 1 } { 2 } \frac { x } { 4 } + \frac { 1 } { 2 } \cdot \frac { x } { 70 } + \frac { 27 } { 80 }$$

Solve for x

$$x = \frac{63}{22} = 2\frac{19}{22} \approx 2.863636364$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 560, the least common multiple of 4,2,70,80.

$$140x=70x+4x+189$$

Combine 70x and 4x to get 74x.

$$140x=74x+189$$

Subtract 74x from both sides.

$$140x-74x=189$$

Combine 140x and -74x to get 66x.

$$66x=189$$

Divide both sides by 66.

$$x=\frac{189}{66}$$

Reduce the fraction \frac{189}{66} to lowest terms by extracting and canceling out 3.

$$x=\frac{63}{22}$$