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

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

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

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

Use the distributive property to multiply 2 by 5x-1.

$$10x-2=5\times 2\left(7x+1\right)$$

Multiply 5 and 2 to get 10.

$$10x-2=10\left(7x+1\right)$$

Use the distributive property to multiply 10 by 7x+1.

$$10x-2=70x+10$$

Subtract 70x from both sides.

$$10x-2-70x=10$$

Combine 10x and -70x to get -60x.

$$-60x-2=10$$

Add 2 to both sides.

$$-60x=10+2$$

Add 10 and 2 to get 12.

$$-60x=12$$

Divide both sides by -60.

$$x=\frac{12}{-60}$$

Reduce the fraction \frac{12}{-60} to lowest terms by extracting and canceling out 12.

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