Solve 3x-1/7=5x-2(3-x)

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

Solve for x

$$x=\frac{41}{46}\approx 0.891304348$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7.

$$3x-1=35x-14\left(3-x\right)$$

Use the distributive property to multiply -14 by 3-x.

$$3x-1=35x-42+14x$$

Combine 35x and 14x to get 49x.

$$3x-1=49x-42$$

Subtract 49x from both sides.

$$3x-1-49x=-42$$

Combine 3x and -49x to get -46x.

$$-46x-1=-42$$

Add 1 to both sides.

$$-46x=-42+1$$

Add -42 and 1 to get -41.

$$-46x=-41$$

Divide both sides by -46.

$$x=\frac{-41}{-46}$$

Fraction \frac{-41}{-46} can be simplified to \frac{41}{46} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{41}{46}$$