Solve 2/3left(4x-1right)-4x-1-3x/2=x-7/2

$$\frac{ 2 }{ 3 } \left( 4x-1 \right) -4x- \frac{ 1-3x }{ 2 } = \frac{ x-7 }{ 2 }$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$4\left(4x-1\right)-24x-3\left(1-3x\right)=3\left(x-7\right)$$

Use the distributive property to multiply 4 by 4x-1.

$$16x-4-24x-3\left(1-3x\right)=3\left(x-7\right)$$

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

$$-8x-4-3\left(1-3x\right)=3\left(x-7\right)$$

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

$$-8x-4-3+9x=3\left(x-7\right)$$

Subtract 3 from -4 to get -7.

$$-8x-7+9x=3\left(x-7\right)$$

Combine -8x and 9x to get x.

$$x-7=3\left(x-7\right)$$

Use the distributive property to multiply 3 by x-7.

$$x-7=3x-21$$

Subtract 3x from both sides.

$$x-7-3x=-21$$

Combine x and -3x to get -2x.

$$-2x-7=-21$$

Add 7 to both sides.

$$-2x=-21+7$$

Add -21 and 7 to get -14.

$$-2x=-14$$

Divide both sides by -2.

$$x=\frac{-14}{-2}$$

Divide -14 by -2 to get 7.

$$x=7$$