Solve 4x-3-2(3x+6)=3(2x-1)

$$4 x - 3 - 2 ( 3 x + 6 ) = 3 ( 2 x - 1 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x+6.

$$4x-3-6x-12=3\left(2x-1\right)$$

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

$$-2x-3-12=3\left(2x-1\right)$$

Subtract 12 from -3 to get -15.

$$-2x-15=3\left(2x-1\right)$$

Use the distributive property to multiply 3 by 2x-1.

$$-2x-15=6x-3$$

Subtract 6x from both sides.

$$-2x-15-6x=-3$$

Combine -2x and -6x to get -8x.

$$-8x-15=-3$$

Add 15 to both sides.

$$-8x=-3+15$$

Add -3 and 15 to get 12.

$$-8x=12$$

Divide both sides by -8.

$$x=\frac{12}{-8}$$

Reduce the fraction \frac{12}{-8} to lowest terms by extracting and canceling out 4.

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