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

$$3x-2(5x+1)=4(x-5)$$

Solve for x

$$x = \frac{18}{11} = 1\frac{7}{11} \approx 1.636363636$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 5x+1.

$$3x-10x-2=4\left(x-5\right)$$

Combine 3x and -10x to get -7x.

$$-7x-2=4\left(x-5\right)$$

Use the distributive property to multiply 4 by x-5.

$$-7x-2=4x-20$$

Subtract 4x from both sides.

$$-7x-2-4x=-20$$

Combine -7x and -4x to get -11x.

$$-11x-2=-20$$

Add 2 to both sides.

$$-11x=-20+2$$

Add -20 and 2 to get -18.

$$-11x=-18$$

Divide both sides by -11.

$$x=\frac{-18}{-11}$$

Fraction \frac{-18}{-11} can be simplified to \frac{18}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{18}{11}$$