Solve x/5-3left(x-1right)=x-25/35

$$\frac{ x }{ 5 } -3 \left( x-1 \right) = x- \frac{ 25 }{ 35 }$$

Solve for x

$$x=\frac{130}{133}\approx 0.977443609$$

Steps for Solving Linear Equation

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

$$7x-105\left(x-1\right)=35x-25$$

Use the distributive property to multiply -105 by x-1.

$$7x-105x+105=35x-25$$

Combine 7x and -105x to get -98x.

$$-98x+105=35x-25$$

Subtract 35x from both sides.

$$-98x+105-35x=-25$$

Combine -98x and -35x to get -133x.

$$-133x+105=-25$$

Subtract 105 from both sides.

$$-133x=-25-105$$

Subtract 105 from -25 to get -130.

$$-133x=-130$$

Divide both sides by -133.

$$x=\frac{-130}{-133}$$

Fraction \frac{-130}{-133} can be simplified to \frac{130}{133} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{130}{133}$$