Solve 3[2-(3x-6)-4]-4(1-2x)=4-5x

$$3 [ 2 - ( 3 x - 6 ) - 4 ] - 4 ( 1 - 2 x ) = 4 - 5 x$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

To find the opposite of 3x-6, find the opposite of each term.

$$3\left(2-3x-\left(-6\right)-4\right)-4\left(1-2x\right)=4-5x$$

The opposite of -6 is 6.

$$3\left(2-3x+6-4\right)-4\left(1-2x\right)=4-5x$$

Add 2 and 6 to get 8.

$$3\left(8-3x-4\right)-4\left(1-2x\right)=4-5x$$

Subtract 4 from 8 to get 4.

$$3\left(4-3x\right)-4\left(1-2x\right)=4-5x$$

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

$$12-9x-4\left(1-2x\right)=4-5x$$

Use the distributive property to multiply -4 by 1-2x.

$$12-9x-4+8x=4-5x$$

Subtract 4 from 12 to get 8.

$$8-9x+8x=4-5x$$

Combine -9x and 8x to get -x.

$$8-x=4-5x$$

Add 5x to both sides.

$$8-x+5x=4$$

Combine -x and 5x to get 4x.

$$8+4x=4$$

Subtract 8 from both sides.

$$4x=4-8$$

Subtract 8 from 4 to get -4.

$$4x=-4$$

Divide both sides by 4.

$$x=\frac{-4}{4}$$

Divide -4 by 4 to get -1.

$$x=-1$$