Solve 5(x/4+x/3)-3x-(2x+1)=2

$$5( \frac{ x }{ 4 } + \frac{ x }{ 3 } )-3x-(2x+1)=2$$

Solve for x

$$x = -\frac{36}{25} = -1\frac{11}{25} = -1.44$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$60\left(\frac{x}{4}+\frac{x}{3}\right)-36x-12\left(2x+1\right)=24$$

Combine \frac{x}{4} and \frac{x}{3} to get \frac{7}{12}x.

$$60\times \frac{7}{12}x-36x-12\left(2x+1\right)=24$$

Express 60\times \frac{7}{12} as a single fraction.

$$\frac{60\times 7}{12}x-36x-12\left(2x+1\right)=24$$

Multiply 60 and 7 to get 420.

$$\frac{420}{12}x-36x-12\left(2x+1\right)=24$$

Divide 420 by 12 to get 35.

$$35x-36x-12\left(2x+1\right)=24$$

Combine 35x and -36x to get -x.

$$-x-12\left(2x+1\right)=24$$

Use the distributive property to multiply -12 by 2x+1.

$$-x-24x-12=24$$

Combine -x and -24x to get -25x.

$$-25x-12=24$$

Add 12 to both sides.

$$-25x=24+12$$

Add 24 and 12 to get 36.

$$-25x=36$$

Divide both sides by -25.

$$x=\frac{36}{-25}$$

Fraction \frac{36}{-25} can be rewritten as -\frac{36}{25} by extracting the negative sign.

$$x=-\frac{36}{25}$$