Solve 4(6x+10)=-2(x-2)

$$4 ( 6 x + 10 ) = - 2 ( x - 2 )$$

Solve for x

$$x = -\frac{18}{13} = -1\frac{5}{13} \approx -1.384615385$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 6x+10.

$$24x+40=-2\left(x-2\right)$$

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

$$24x+40=-2x+4$$

Add 2x to both sides.

$$24x+40+2x=4$$

Combine 24x and 2x to get 26x.

$$26x+40=4$$

Subtract 40 from both sides.

$$26x=4-40$$

Subtract 40 from 4 to get -36.

$$26x=-36$$

Divide both sides by 26.

$$x=\frac{-36}{26}$$

Reduce the fraction \frac{-36}{26} to lowest terms by extracting and canceling out 2.

$$x=-\frac{18}{13}$$