Solve -2(3x-5)=4(x+3)+8

$$- 2 ( 3 x - 5 ) = 4 ( x + 3 ) + 8$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x-5.

$$-6x+10=4\left(x+3\right)+8$$

Use the distributive property to multiply 4 by x+3.

$$-6x+10=4x+12+8$$

Add 12 and 8 to get 20.

$$-6x+10=4x+20$$

Subtract 4x from both sides.

$$-6x+10-4x=20$$

Combine -6x and -4x to get -10x.

$$-10x+10=20$$

Subtract 10 from both sides.

$$-10x=20-10$$

Subtract 10 from 20 to get 10.

$$-10x=10$$

Divide both sides by -10.

$$x=\frac{10}{-10}$$

Divide 10 by -10 to get -1.

$$x=-1$$