Solve 1/7-1/2x+2(2x-1)/14=-x+3/7x-frac{5}{2}

$$\frac { 1 } { 7 } - \frac { 1 } { 2 } x + \frac { 2 ( 2 x - 1 ) } { 14 } = - x + \frac { 3 } { 7 } x - \frac { 5 } { 2 }$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2,14.

$$2-7x+2\left(2x-1\right)=-14x+6x-35$$

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

$$2-7x+4x-2=-14x+6x-35$$

Combine -7x and 4x to get -3x.

$$2-3x-2=-14x+6x-35$$

Subtract 2 from 2 to get 0.

$$-3x=-14x+6x-35$$

Combine -14x and 6x to get -8x.

$$-3x=-8x-35$$

Add 8x to both sides.

$$-3x+8x=-35$$

Combine -3x and 8x to get 5x.

$$5x=-35$$

Divide both sides by 5.

$$x=\frac{-35}{5}$$

Divide -35 by 5 to get -7.

$$x=-7$$