Solve 3(4x-2)-5x=6(2x-4)+7x

$$3 ( 4 x - 2 ) - 5 x = 6 ( 2 x - 4 ) + 7 x$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

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

$$12x-6-5x=6\left(2x-4\right)+7x$$

Combine 12x and -5x to get 7x.

$$7x-6=6\left(2x-4\right)+7x$$

Use the distributive property to multiply 6 by 2x-4.

$$7x-6=12x-24+7x$$

Combine 12x and 7x to get 19x.

$$7x-6=19x-24$$

Subtract 19x from both sides.

$$7x-6-19x=-24$$

Combine 7x and -19x to get -12x.

$$-12x-6=-24$$

Add 6 to both sides.

$$-12x=-24+6$$

Add -24 and 6 to get -18.

$$-12x=-18$$

Divide both sides by -12.

$$x=\frac{-18}{-12}$$

Reduce the fraction \frac{-18}{-12} to lowest terms by extracting and canceling out -6.

$$x=\frac{3}{2}$$