Solve -2(3x-7)=4(x+9

$$- 2 ( 3 x - 7 ) = 4 ( x + 9$$

Solve for x

$$x = -\frac{11}{5} = -2\frac{1}{5} = -2.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x-7.

$$-6x+14=4\left(x+9\right)$$

Use the distributive property to multiply 4 by x+9.

$$-6x+14=4x+36$$

Subtract 4x from both sides.

$$-6x+14-4x=36$$

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

$$-10x+14=36$$

Subtract 14 from both sides.

$$-10x=36-14$$

Subtract 14 from 36 to get 22.

$$-10x=22$$

Divide both sides by -10.

$$x=\frac{22}{-10}$$

Reduce the fraction \frac{22}{-10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{5}$$