Question $-2=x-4+6$

Studdy Solution

STEP 1

1. The equation $-2 = x - 4 + 6$ is asking us to solve for $x$ .
2. This is a linear equation with one variable.
3. The equation involves basic algebraic operations, specifically addition and subtraction.

STEP 2

1. Simplify the equation.
2. Isolate the variable $x$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

Simplify the right-hand side of the equation by combining like terms:
$x - 4 + 6 = x + 2$
So the equation becomes:
$-2 = x + 2$

STEP 4

To isolate $x$ , subtract 2 from both sides of the equation:
$-2 - 2 = x + 2 - 2$

STEP 5

Simplify both sides of the equation:
$-4 = x$
or equivalently:
$x = -4$

STEP 6

Check the solution by substituting $x = -4$ back into the original equation:
$-2 = (-4) - 4 + 6$

STEP 7

Simplify the right-hand side:
$-4 - 4 + 6 = -8 + 6 = -2$
Both sides are equal, confirming our solution is correct.
Therefore, the solution is:
$\boxed{-4}$

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