Solve for x. - 12 = - 3/4 x

Answer: 12

x

+

3

4

=

3

2

12

x

+

3

4

=

3

2

Move

3

2

3

2

to the left side of the equation by subtracting it from both sides.

12

x

+

3

4

-

3

2

=

0

12

x

+

3

4

-

3

2

=

0

Simplify

12

x

+

3

4

-

3

2

12

x

+

3

4

-

3

2

.

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12

x

-

3

4

=

0

12

x

-

3

4

=

0

To write

-

3

2

-

3

2

as a fraction with a common denominator, multiply by

2

2

2

2

.

12

x

+

3

4

-

3

2

⋅

2

2

=

0

12

x

+

3

4

-

3

2

⋅

2

2

=

0

Write each expression with a common denominator of

4

4

, by multiplying each by an appropriate factor of

1

1

.

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12

x

+

3

4

-

3

⋅

2

4

=

0

12

x

+

3

4

-

3

⋅

2

4

=

0

Combine the numerators over the common denominator.

12

x

+

3

-

3

⋅

2

4

=

0

12

x

+

3

-

3

⋅

2

4

=

0

Simplify the numerator.

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12

x

+

-

3

4

=

0

12

x

+

-

3

4

=

0

Move the negative in front of the fraction.

12

x

-

3

4

=

0

12

x

-

3

4

=

0

To write

12

x

12

x

as a fraction with a common denominator, multiply by

4

4

4

4

.

12

x

⋅

4

4

-

3

4

=

0

12

x

⋅

4

4

-

3

4

=

0

To write

-

3

4

-

3

4

as a fraction with a common denominator, multiply by

x

x

x

x

.

12

x

⋅

4

4

-

3

4

⋅

x

x

=

0

12

x

⋅

4

4

-

3

4

⋅

x

x

=

0

Write each expression with a common denominator of

x

⋅

4

x

⋅

4

, by multiplying each by an appropriate factor of

1

1

.

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12

⋅

4

4

x

-

3

x

4

x

=

0

12

⋅

4

4

x

-

3

x

4

x

=

0

Combine the numerators over the common denominator.

12

⋅

4

-

3

x

4

x

=

0

12

⋅

4

-

3

x

4

x

=

0

Simplify the numerator.

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3

(

16

-

x

)

4

x

=

0

3

(

16

-

x

)

4

x

=

0

Find the LCD of the terms in the equation.

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4

x

4

x

Multiply each term by

4

x

4

x

and simplify.

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48

-

3

x

=

0

48

-

3

x

=

0

Solve the equation.

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x

=

16

x

=

16

16

Step-by-step explanation:

-12 = - 3/4 x

divide both sides by - 3/4

16 = x