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Math  /  Algebra

Question2) −6+x4=−5-6+\frac{x}{4}=-5

Studdy Solution

STEP 1

1. The equation −6+x4=−5 -6 + \frac{x}{4} = -5 is a linear equation.
2. We need to solve for the variable x x .
3. The equation involves basic algebraic operations, including addition and division.

STEP 2

1. Isolate the term containing the variable x x .
2. Eliminate the fraction to solve for x x .
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing x x , add 6 to both sides of the equation:
−6+x4+6=−5+6 -6 + \frac{x}{4} + 6 = -5 + 6

STEP 4

Simplify both sides:
x4=1 \frac{x}{4} = 1

STEP 5

To eliminate the fraction, multiply both sides by 4:
4×x4=1×4 4 \times \frac{x}{4} = 1 \times 4

STEP 6

Simplify both sides:
x=4 x = 4

STEP 7

Check the solution by substituting x=4 x = 4 back into the original equation:
−6+44=−5 -6 + \frac{4}{4} = -5

STEP 8

Simplify the left-hand side:
−6+1=−5 -6 + 1 = -5
Both sides are equal, confirming that the solution is correct.
The solution is:
4 \boxed{4}

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