Solve 2x-1/5=1-2x-2/7

$$\frac { 2 x - 1 } { 5 } = 1 - \frac { 2 x - 2 } { 7 }$$

Solve for x

$$x = \frac{13}{6} = 2\frac{1}{6} \approx 2.166666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7\left(2x-1\right)=35-5\left(2x-2\right)$$

Use the distributive property to multiply 7 by 2x-1.

$$14x-7=35-5\left(2x-2\right)$$

Use the distributive property to multiply -5 by 2x-2.

$$14x-7=35-10x+10$$

Add 35 and 10 to get 45.

$$14x-7=45-10x$$

Add 10x to both sides.

$$14x-7+10x=45$$

Combine 14x and 10x to get 24x.

$$24x-7=45$$

Add 7 to both sides.

$$24x=45+7$$

Add 45 and 7 to get 52.

$$24x=52$$

Divide both sides by 24.

$$x=\frac{52}{24}$$

Reduce the fraction \frac{52}{24} to lowest terms by extracting and canceling out 4.

$$x=\frac{13}{6}$$