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

Question

Solve the equation

x = 0

Evaluate

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

Simplify

More Steps

Evaluate

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

Multiply the terms

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Evaluate

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

Apply the distributive property

\frac{3}{2} \times 2 - \frac{3}{2} \times 5 x

Multiply the numbers

3 - \frac{3}{2} \times 5 x

Multiply the numbers

3 - \frac{15}{2} x

\frac{1}{3} x - (3 - \frac{15}{2} x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{1}{3} x - 3 + \frac{15}{2} x

Add the terms

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Evaluate

\frac{1}{3} x + \frac{15}{2} x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{1}{3} + \frac{15}{2}) x

Add the numbers

\frac{47}{6} x

\frac{47}{6} x - 3

\frac{47}{6} x - 3 = - 3

Move the constant to the right-hand side and change its sign

\frac{47}{6} x = - 3 + 3

Add the numbers

\frac{47}{6} x = 0

Solution

x = 0

Show Solution

Rewrite the equation

x = 0

Evaluate

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

Evaluate

More Steps

Evaluate

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

Multiply the terms

More Steps

Evaluate

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

Apply the distributive property

\frac{3}{2} \times 2 - \frac{3}{2} \times 5 x

Multiply the numbers

3 - \frac{3}{2} \times 5 x

Multiply the numbers

3 - \frac{15}{2} x

\frac{1}{3} x - (3 - \frac{15}{2} x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{1}{3} x - 3 + \frac{15}{2} x

Add the terms

More Steps

Evaluate

\frac{1}{3} x + \frac{15}{2} x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{1}{3} + \frac{15}{2}) x

Add the numbers

\frac{47}{6} x

\frac{47}{6} x - 3

\frac{47}{6} x - 3 = - 3

Multiply both sides of the equation by LCD

47 x - 18 = - 18

Move the constant to the right side

47 x = 0

Solution

x = 0

Show Solution

Solve the equation

Rewrite the equation

Graph