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

$$4 x - 6 ( 2 x - 1 ) = \frac { 6 ( 3 x - 1 ) } { 2 }$$

Solve for x

$$x=\frac{9}{17}\approx 0.529411765$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$8x-12\left(2x-1\right)=6\left(3x-1\right)$$

Use the distributive property to multiply -12 by 2x-1.

$$8x-24x+12=6\left(3x-1\right)$$

Combine 8x and -24x to get -16x.

$$-16x+12=6\left(3x-1\right)$$

Use the distributive property to multiply 6 by 3x-1.

$$-16x+12=18x-6$$

Subtract 18x from both sides.

$$-16x+12-18x=-6$$

Combine -16x and -18x to get -34x.

$$-34x+12=-6$$

Subtract 12 from both sides.

$$-34x=-6-12$$

Subtract 12 from -6 to get -18.

$$-34x=-18$$

Divide both sides by -34.

$$x=\frac{-18}{-34}$$

Reduce the fraction \frac{-18}{-34} to lowest terms by extracting and canceling out -2.

$$x=\frac{9}{17}$$