Solve x-(5x-1)-7-5x/10=1

$$x - ( 5 x - 1 ) - \frac { 7 - 5 x } { 10 } = 1$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

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

Use the distributive property to multiply -10 by 5x-1.

$$10x-50x+10-\left(7-5x\right)=10$$

Combine 10x and -50x to get -40x.

$$-40x+10-\left(7-5x\right)=10$$

To find the opposite of 7-5x, find the opposite of each term.

$$-40x+10-7-\left(-5x\right)=10$$

The opposite of -5x is 5x.

$$-40x+10-7+5x=10$$

Subtract 7 from 10 to get 3.

$$-40x+3+5x=10$$

Combine -40x and 5x to get -35x.

$$-35x+3=10$$

Subtract 3 from both sides.

$$-35x=10-3$$

Subtract 3 from 10 to get 7.

$$-35x=7$$

Divide both sides by -35.

$$x=\frac{7}{-35}$$

Reduce the fraction \frac{7}{-35} to lowest terms by extracting and canceling out 7.

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