Math  /  Algebra

Question1=7x+11=7 x+1

Studdy Solution

STEP 1

1. The equation 1=7x+1 1 = 7x + 1 is asking us to solve for x x .
2. This is a linear equation with one solution.
3. The equation involves basic algebraic operations, specifically subtraction and division.

STEP 2

1. Simplify the equation by removing constants from one side.
2. Isolate the variable x x by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

Subtract 1 1 from both sides of the equation to remove the constant term on the right side:
11=7x+11 1 - 1 = 7x + 1 - 1

STEP 4

Simplify both sides:
0=7x 0 = 7x

STEP 5

Now, divide both sides by 7 7 to solve for x x :
07=7x7 \frac{0}{7} = \frac{7x}{7}

STEP 6

Simplify the equation:
0=x 0 = x
or equivalently,
x=0 x = 0

STEP 7

Check the solution by substituting x=0 x = 0 back into the original equation:
1=7(0)+1 1 = 7(0) + 1

STEP 8

Simplify the right side:
1=0+1 1 = 0 + 1
1=1 1 = 1
Both sides are equal, confirming that the solution is correct.
The solution is:
0 \boxed{0}

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