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

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

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

$$3x-8\left(4+2x\right)=-2x+1$$

Use the distributive property to multiply -8 by 4+2x.

$$3x-32-16x=-2x+1$$

Combine 3x and -16x to get -13x.

$$-13x-32=-2x+1$$

Add 2x to both sides.

$$-13x-32+2x=1$$

Combine -13x and 2x to get -11x.

$$-11x-32=1$$

Add 32 to both sides.

$$-11x=1+32$$

Add 1 and 32 to get 33.

$$-11x=33$$

Divide both sides by -11.

$$x=\frac{33}{-11}$$

Divide 33 by -11 to get -3.

$$x=-3$$