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

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

Solve for x

$$x = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$4x-2+15\left(-2x-1\right)=-10\left(3+2x\right)-3x$$

Use the distributive property to multiply 15 by -2x-1.

$$4x-2-30x-15=-10\left(3+2x\right)-3x$$

Combine 4x and -30x to get -26x.

$$-26x-2-15=-10\left(3+2x\right)-3x$$

Subtract 15 from -2 to get -17.

$$-26x-17=-10\left(3+2x\right)-3x$$

Use the distributive property to multiply -10 by 3+2x.

$$-26x-17=-30-20x-3x$$

Combine -20x and -3x to get -23x.

$$-26x-17=-30-23x$$

Add 23x to both sides.

$$-26x-17+23x=-30$$

Combine -26x and 23x to get -3x.

$$-3x-17=-30$$

Add 17 to both sides.

$$-3x=-30+17$$

Add -30 and 17 to get -13.

$$-3x=-13$$

Divide both sides by -3.

$$x=\frac{-13}{-3}$$

Fraction \frac{-13}{-3} can be simplified to \frac{13}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{3}$$