Solve (5-2x)/31-3 (3x-2)/5 =-x

Evaluate

\frac{5 - 2 x}{31} - (3 \times \frac{3 x - 2}{5}) = - x

Multiply the terms

\frac{5 - 2 x}{31} - \frac{3 ( 3 x - 2 )}{5} = - x

Multiply both sides of the equation by LCD

(\frac{5 - 2 x}{31} - \frac{3 ( 3 x - 2 )}{5}) \times 155 = - x \times 155

Simplify the equation

More Steps

211 - 289 x = - x \times 155

Use the commutative property to reorder the terms

211 - 289 x = - 155 x

Move the variable to the left side

211 - 289 x + 155 x = 0

Add the terms

More Steps

211 - 134 x = 0

Move the constant to the right side

- 134 x = 0 - 211

Removing 0 doesn't change the value,so remove it from the expression

- 134 x = - 211

Change the signs on both sides of the equation

134 x = 211

Divide both sides

\frac{134 x}{134} = \frac{211}{134}

Solution

x = \frac{211}{134}

Alternative Form

x \approx 1.574627

Solve the equation