Solve 6-8x/10+8-6x/8=10-4x/4

$$\frac{ 6-8x }{ 10 } + \frac{ 8-6x }{ 8 } = \frac{ 10-4x }{ 4 }$$

Solve for x

$$x = -\frac{18}{11} = -1\frac{7}{11} \approx -1.636363636$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 10,8,4.

$$4\left(6-8x\right)+5\left(8-6x\right)=10\left(10-4x\right)$$

Use the distributive property to multiply 4 by 6-8x.

$$24-32x+5\left(8-6x\right)=10\left(10-4x\right)$$

Use the distributive property to multiply 5 by 8-6x.

$$24-32x+40-30x=10\left(10-4x\right)$$

Add 24 and 40 to get 64.

$$64-32x-30x=10\left(10-4x\right)$$

Combine -32x and -30x to get -62x.

$$64-62x=10\left(10-4x\right)$$

Use the distributive property to multiply 10 by 10-4x.

$$64-62x=100-40x$$

Add 40x to both sides.

$$64-62x+40x=100$$

Combine -62x and 40x to get -22x.

$$64-22x=100$$

Subtract 64 from both sides.

$$-22x=100-64$$

Subtract 64 from 100 to get 36.

$$-22x=36$$

Divide both sides by -22.

$$x=\frac{36}{-22}$$

Reduce the fraction \frac{36}{-22} to lowest terms by extracting and canceling out 2.

$$x=-\frac{18}{11}$$