Solve 6-4x/5-2/5=6x/10+7/2

$$6 - \frac { 4 x } { 5 } - \frac { 2 } { 5 } = \frac { 6 x } { 10 } + \frac { 7 } { 2 }$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10,2.

$$60-2\times 4x-4=6x+35$$

Multiply -2 and 4 to get -8.

$$60-8x-4=6x+35$$

Subtract 4 from 60 to get 56.

$$56-8x=6x+35$$

Subtract 6x from both sides.

$$56-8x-6x=35$$

Combine -8x and -6x to get -14x.

$$56-14x=35$$

Subtract 56 from both sides.

$$-14x=35-56$$

Subtract 56 from 35 to get -21.

$$-14x=-21$$

Divide both sides by -14.

$$x=\frac{-21}{-14}$$

Reduce the fraction \frac{-21}{-14} to lowest terms by extracting and canceling out -7.

$$x=\frac{3}{2}$$