Solve 3(4x-1)+2=2(8x+2)+4

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

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 4x-1.

$$12x-3+2=2\left(8x+2\right)+4$$

Add -3 and 2 to get -1.

$$12x-1=2\left(8x+2\right)+4$$

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

$$12x-1=16x+4+4$$

Add 4 and 4 to get 8.

$$12x-1=16x+8$$

Subtract 16x from both sides.

$$12x-1-16x=8$$

Combine 12x and -16x to get -4x.

$$-4x-1=8$$

Add 1 to both sides.

$$-4x=8+1$$

Add 8 and 1 to get 9.

$$-4x=9$$

Divide both sides by -4.

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

Fraction \frac{9}{-4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

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