Math  /  Algebra

Question8+x=56-8+x=56
Check the answer

Studdy Solution

STEP 1

1. The equation 8+x=56 -8 + x = 56 is asking us to solve for x x .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically addition.

STEP 2

1. Think about what the equation says.
2. Isolate the variable x x by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

The equation 8+x=56 -8 + x = 56 is saying that if you add x x to 8-8, you get 56 56 .

STEP 4

To isolate x x , we need to get rid of 8-8 on the left side. We do this by adding 8 8 to both sides of the equation:
8+x+8=56+8 -8 + x + 8 = 56 + 8

STEP 5

Simplify both sides of the equation:
x=64 x = 64

STEP 6

We should always check the solution by substituting it back into the original equation.
Substitute x=64 x = 64 :
8+64=56 -8 + 64 = 56
We are checking, does the left-hand side equal the right-hand side?

STEP 7

Simplify the left side:
56=56 56 = 56
Yes! Both sides are equal.
Therefore, the solution is:
64 \boxed{64}

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