Solve 3x-4(2-3x)-16=5x-2(4x+3)

$$3 x - 4 ( 2 - 3 x ) - 16 = 5 x - 2 ( 4 x + 3 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3x-8+12x-16=5x-2\left(4x+3\right)$$

Combine 3x and 12x to get 15x.

$$15x-8-16=5x-2\left(4x+3\right)$$

Subtract 16 from -8 to get -24.

$$15x-24=5x-2\left(4x+3\right)$$

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

$$15x-24=5x-8x-6$$

Combine 5x and -8x to get -3x.

$$15x-24=-3x-6$$

Add 3x to both sides.

$$15x-24+3x=-6$$

Combine 15x and 3x to get 18x.

$$18x-24=-6$$

Add 24 to both sides.

$$18x=-6+24$$

Add -6 and 24 to get 18.

$$18x=18$$

Divide both sides by 18.

$$x=\frac{18}{18}$$

Divide 18 by 18 to get 1.

$$x=1$$