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

$$5x-4(x-3(x-2x+4))=2$$

Solve for x

$$x = \frac{46}{11} = 4\frac{2}{11} \approx 4.181818182$$

Steps for Solving Linear Equation

Combine x and -2x to get -x.

$$5x-4\left(x-3\left(-x+4\right)\right)=2$$

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

$$5x-4\left(x+3x-12\right)=2$$

Combine x and 3x to get 4x.

$$5x-4\left(4x-12\right)=2$$

Use the distributive property to multiply -4 by 4x-12.

$$5x-16x+48=2$$

Combine 5x and -16x to get -11x.

$$-11x+48=2$$

Subtract 48 from both sides.

$$-11x=2-48$$

Subtract 48 from 2 to get -46.

$$-11x=-46$$

Divide both sides by -11.

$$x=\frac{-46}{-11}$$

Fraction \frac{-46}{-11} can be simplified to \frac{46}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{46}{11}$$