Solve 3x-1/2+4*(x-2)=2*(6x+1)/4

$$3 x - \frac { 1 } { 2 } + 4 \cdot ( x - 2 ) = \frac { 2 \cdot ( 6 x + 1 ) } { 4 }$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

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

$$12x-2+16\left(x-2\right)=2\left(6x+1\right)$$

Use the distributive property to multiply 16 by x-2.

$$12x-2+16x-32=2\left(6x+1\right)$$

Combine 12x and 16x to get 28x.

$$28x-2-32=2\left(6x+1\right)$$

Subtract 32 from -2 to get -34.

$$28x-34=2\left(6x+1\right)$$

Use the distributive property to multiply 2 by 6x+1.

$$28x-34=12x+2$$

Subtract 12x from both sides.

$$28x-34-12x=2$$

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

$$16x-34=2$$

Add 34 to both sides.

$$16x=2+34$$

Add 2 and 34 to get 36.

$$16x=36$$

Divide both sides by 16.

$$x=\frac{36}{16}$$

Reduce the fraction \frac{36}{16} to lowest terms by extracting and canceling out 4.

$$x=\frac{9}{4}$$