Solve 2x - (6 - x) = 3/2

Question

Solve the equation

x = \frac{5}{2}

Alternative Form

x = 2.5

Evaluate

2 x - (6 - x) = \frac{3}{2}

Subtract the terms

More Steps

Evaluate

2 x - (6 - 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

2 x - 6 + x

Add the terms

More Steps

Evaluate

2 x + x

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

(2 + 1) x

Add the numbers

3 x

3 x - 6

3 x - 6 = \frac{3}{2}

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

3 x = \frac{3}{2} + 6

Add the numbers

More Steps

Evaluate

\frac{3}{2} + 6

Reduce fractions to a common denominator

\frac{3}{2} + \frac{6 \times 2}{2}

Write all numerators above the common denominator

\frac{3 + 6 \times 2}{2}

Multiply the numbers

\frac{3 + 12}{2}

Add the numbers

\frac{15}{2}

3 x = \frac{15}{2}

Multiply by the reciprocal

3 x \times \frac{1}{3} = \frac{15}{2} \times \frac{1}{3}

Multiply

x = \frac{15}{2} \times \frac{1}{3}

Solution

More Steps

Evaluate

\frac{15}{2} \times \frac{1}{3}

Reduce the numbers

\frac{5}{2} \times 1

Multiply the numbers

\frac{5}{2}

x = \frac{5}{2}

Alternative Form

x = 2.5

Show Solution

Rewrite the equation

2 x = 5

Evaluate

2 x - (6 - x) = \frac{3}{2}

Evaluate

More Steps

Evaluate

2 x - (6 - 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

2 x - 6 + x

Add the terms

More Steps

Evaluate

2 x + x

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

(2 + 1) x

Add the numbers

3 x

3 x - 6

3 x - 6 = \frac{3}{2}

Multiply both sides of the equation by LCD

6 x - 12 = 3

Move the constant to the right side

6 x = 15

Solution

2 x = 5

Show Solution

Solve the equation

Rewrite the equation

Graph