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

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

Solve for x

$$x = \frac{18}{7} = 2\frac{4}{7} \approx 2.571428571$$

Steps for Solving Linear Equation

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

$$-2x-6+4=5\left(x-4\right)$$

Add -6 and 4 to get -2.

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

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

$$-2x-2=5x-20$$

Subtract 5x from both sides.

$$-2x-2-5x=-20$$

Combine -2x and -5x to get -7x.

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

Add 2 to both sides.

$$-7x=-20+2$$

Add -20 and 2 to get -18.

$$-7x=-18$$

Divide both sides by -7.

$$x=\frac{-18}{-7}$$

Fraction \frac{-18}{-7} can be simplified to \frac{18}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{18}{7}$$