Solve 6x+1=2(5x-1/2)

$$6 x + 1 = 2 ( 5 x - \frac { 1 } { 2 } )$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 5x-\frac{1}{2}.

$$6x+1=10x+2\left(-\frac{1}{2}\right)$$

Cancel out 2 and 2.

$$6x+1=10x-1$$

Subtract 10x from both sides.

$$6x+1-10x=-1$$

Combine 6x and -10x to get -4x.

$$-4x+1=-1$$

Subtract 1 from both sides.

$$-4x=-1-1$$

Subtract 1 from -1 to get -2.

$$-4x=-2$$

Divide both sides by -4.

$$x=\frac{-2}{-4}$$

Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.

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