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

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

Solve for x

$$x=\frac{7}{18}\approx 0.388888889$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,4,3.

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

Use the distributive property to multiply 6 by 2x-1.

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

Multiply -3 and 3 to get -9.

$$12x-6-9\left(1-2x\right)=4\left(3x-2\right)$$

Use the distributive property to multiply -9 by 1-2x.

$$12x-6-9+18x=4\left(3x-2\right)$$

Subtract 9 from -6 to get -15.

$$12x-15+18x=4\left(3x-2\right)$$

Combine 12x and 18x to get 30x.

$$30x-15=4\left(3x-2\right)$$

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

$$30x-15=12x-8$$

Subtract 12x from both sides.

$$30x-15-12x=-8$$

Combine 30x and -12x to get 18x.

$$18x-15=-8$$

Add 15 to both sides.

$$18x=-8+15$$

Add -8 and 15 to get 7.

$$18x=7$$

Divide both sides by 18.

$$x=\frac{7}{18}$$