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

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

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 4+2x.

$$2x-12-6x=5-\left(x-4\right)$$

Combine 2x and -6x to get -4x.

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

To find the opposite of x-4, find the opposite of each term.

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

The opposite of -4 is 4.

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

Add 5 and 4 to get 9.

$$-4x-12=9-x$$

Add x to both sides.

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

Combine -4x and x to get -3x.

$$-3x-12=9$$

Add 12 to both sides.

$$-3x=9+12$$

Add 9 and 12 to get 21.

$$-3x=21$$

Divide both sides by -3.

$$x=\frac{21}{-3}$$

Divide 21 by -3 to get -7.

$$x=-7$$