Solve -2(3x-8)=7(x+1)

$$-2(3x-8)=7(x+1)$$

Solve for x

$$x=\frac{9}{13}\approx 0.692307692$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x-8.

$$-6x+16=7\left(x+1\right)$$

Use the distributive property to multiply 7 by x+1.

$$-6x+16=7x+7$$

Subtract 7x from both sides.

$$-6x+16-7x=7$$

Combine -6x and -7x to get -13x.

$$-13x+16=7$$

Subtract 16 from both sides.

$$-13x=7-16$$

Subtract 16 from 7 to get -9.

$$-13x=-9$$

Divide both sides by -13.

$$x=\frac{-9}{-13}$$

Fraction \frac{-9}{-13} can be simplified to \frac{9}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{13}$$