Solve 4-10x+1/6=4x-16x+3/4

$$4- \frac{ 10x+1 }{ 6 } =4x- \frac{ 16x+3 }{ 4 }$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$48-2\left(10x+1\right)=48x-3\left(16x+3\right)$$

Use the distributive property to multiply -2 by 10x+1.

$$48-20x-2=48x-3\left(16x+3\right)$$

Subtract 2 from 48 to get 46.

$$46-20x=48x-3\left(16x+3\right)$$

Use the distributive property to multiply -3 by 16x+3.

$$46-20x=48x-48x-9$$

Combine 48x and -48x to get 0.

$$46-20x=-9$$

Subtract 46 from both sides.

$$-20x=-9-46$$

Subtract 46 from -9 to get -55.

$$-20x=-55$$

Divide both sides by -20.

$$x=\frac{-55}{-20}$$

Reduce the fraction \frac{-55}{-20} to lowest terms by extracting and canceling out -5.

$$x=\frac{11}{4}$$