Solve 4x-2(6x-5)=3x+12(2x+16)

$$4 x - 2 ( 6 x - 5 ) = 3 x + 12 ( 2 x + 16 )$$

Solve for x

$$x = -\frac{26}{5} = -5\frac{1}{5} = -5.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 6x-5.

$$4x-12x+10=3x+12\left(2x+16\right)$$

Combine 4x and -12x to get -8x.

$$-8x+10=3x+12\left(2x+16\right)$$

Use the distributive property to multiply 12 by 2x+16.

$$-8x+10=3x+24x+192$$

Combine 3x and 24x to get 27x.

$$-8x+10=27x+192$$

Subtract 27x from both sides.

$$-8x+10-27x=192$$

Combine -8x and -27x to get -35x.

$$-35x+10=192$$

Subtract 10 from both sides.

$$-35x=192-10$$

Subtract 10 from 192 to get 182.

$$-35x=182$$

Divide both sides by -35.

$$x=\frac{182}{-35}$$

Reduce the fraction \frac{182}{-35} to lowest terms by extracting and canceling out 7.

$$x=-\frac{26}{5}$$