How many solutions exist for given equation?
1/2)x+12=4x-1

There is one solution for the equation.

Exact Form:

Decimal Form:

Mixed Number Form:

Step-by-step explanation:

Combine and x.

Move all terms containing x to the left side of the equation.

Subtract 4x from both sides of the equation.

Simplify the left side of the equation.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of 2, by multiplying each by an appropriate factor of 1.

Combine

Multiply 2 by 1.

Combine the numerators over the denominator.

Simplify each term

Simplify the numerator

Factor x out of x - 4x * 2

Raise x to the power of 1.

Factor x out of

Factor x out of -4x * 2

Factor x out of x * 1 + x (-4 * 2).

Multiply -4 by 2.

Subtract 8 from 1.

Move -7 to the left of x.

Move the negative in front of the fraction.

Move all terms not containing x to the right side of the equation.

Subtract 12 from both sides of the equation.

Subtract 12 from -1.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify the left side

Cancel the common factor of 2.

Move the leading negative in into the numerator.

Move the leading negative in into the numerator.

Factor out the greatest common factor 2.

Cancel the common factor

Cancel the common factor of 7.

Factor out the greatest common factor 7.

Cancel the common factor.

Simplify

Multiply and .

Multiply -1 by -1.

Multiply x by 1.

Divide x by 1.

Multiply

Multiply -13 by -1.

Combine 13 and .

Multiply 13 by 2.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

mark brainliest