Solve 4x+3-x/2=3/5-3+2x/4-x

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

Solve for x

$$x=-\frac{63}{100}=-0.63$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 2,5,4.

$$80x+60-10x=12-5\left(3+2x\right)-20x$$

Combine 80x and -10x to get 70x.

$$70x+60=12-5\left(3+2x\right)-20x$$

Use the distributive property to multiply -5 by 3+2x.

$$70x+60=12-15-10x-20x$$

Subtract 15 from 12 to get -3.

$$70x+60=-3-10x-20x$$

Combine -10x and -20x to get -30x.

$$70x+60=-3-30x$$

Add 30x to both sides.

$$70x+60+30x=-3$$

Combine 70x and 30x to get 100x.

$$100x+60=-3$$

Subtract 60 from both sides.

$$100x=-3-60$$

Subtract 60 from -3 to get -63.

$$100x=-63$$

Divide both sides by 100.

$$x=\frac{-63}{100}$$

Fraction \frac{-63}{100} can be rewritten as -\frac{63}{100} by extracting the negative sign.

$$x=-\frac{63}{100}$$