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

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

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Steps for Solving Linear Equation

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

$$2x+3=x-20+4x+1$$

Combine x and 4x to get 5x.

$$2x+3=5x-20+1$$

Add -20 and 1 to get -19.

$$2x+3=5x-19$$

Subtract 5x from both sides.

$$2x+3-5x=-19$$

Combine 2x and -5x to get -3x.

$$-3x+3=-19$$

Subtract 3 from both sides.

$$-3x=-19-3$$

Subtract 3 from -19 to get -22.

$$-3x=-22$$

Divide both sides by -3.

$$x=\frac{-22}{-3}$$

Fraction \frac{-22}{-3} can be simplified to \frac{22}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{22}{3}$$