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

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

Solve for x

$$x=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+\frac{1}{3}.

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

Cancel out 3 and 3.

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

Subtract 4 from 1 to get -3.

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

Use the distributive property to multiply 4 by 2x+\frac{1}{4}.

$$3x-3=8x+4\times \frac{1}{4}$$

Cancel out 4 and 4.

$$3x-3=8x+1$$

Subtract 8x from both sides.

$$3x-3-8x=1$$

Combine 3x and -8x to get -5x.

$$-5x-3=1$$

Add 3 to both sides.

$$-5x=1+3$$

Add 1 and 3 to get 4.

$$-5x=4$$

Divide both sides by -5.

$$x=\frac{4}{-5}$$

Fraction \frac{4}{-5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$x=-\frac{4}{5}$$