Solve 2[8-4(6x-3)]=7(3-6x)+49

$$2 [ 8 - 4 ( 6 x - 3 ) ] = 7 ( 3 - 6 x ) + 49$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 6x-3.

$$2\left(8-24x+12\right)=7\left(3-6x\right)+49$$

Add 8 and 12 to get 20.

$$2\left(20-24x\right)=7\left(3-6x\right)+49$$

Use the distributive property to multiply 2 by 20-24x.

$$40-48x=7\left(3-6x\right)+49$$

Use the distributive property to multiply 7 by 3-6x.

$$40-48x=21-42x+49$$

Add 21 and 49 to get 70.

$$40-48x=70-42x$$

Add 42x to both sides.

$$40-48x+42x=70$$

Combine -48x and 42x to get -6x.

$$40-6x=70$$

Subtract 40 from both sides.

$$-6x=70-40$$

Subtract 40 from 70 to get 30.

$$-6x=30$$

Divide both sides by -6.

$$x=\frac{30}{-6}$$

Divide 30 by -6 to get -5.

$$x=-5$$