Solve 5x-2x+1/2=3x+16x-2/4

$$5 x - \frac { 2 x + 1 } { 2 } = 3 x + \frac { 16 x - 2 } { 4 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$20x-2\left(2x+1\right)=12x+16x-2$$

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

$$20x-4x-2=12x+16x-2$$

Combine 20x and -4x to get 16x.

$$16x-2=12x+16x-2$$

Combine 12x and 16x to get 28x.

$$16x-2=28x-2$$

Subtract 28x from both sides.

$$16x-2-28x=-2$$

Combine 16x and -28x to get -12x.

$$-12x-2=-2$$

Add 2 to both sides.

$$-12x=-2+2$$

Add -2 and 2 to get 0.

$$-12x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -12 is not equal to 0, x must be equal to 0.

$$x=0$$