To solve for the variable [tex]\( x \)[/tex] in the equation [tex]\( 6 - 2x = -3 \)[/tex], let's isolate the term involving [tex]\( x \)[/tex]. Here's a step-by-step solution:
1. Identify the current equation:
[tex]\[
6 - 2x = -3
\][/tex]
2. To isolate the [tex]\( -2x \)[/tex] term, we need to move the constant term (6) to the other side of the equation.
3. To move the 6, we should subtract it from both sides of the equation:
[tex]\[
6 - 2x - 6 = -3 - 6
\][/tex]
4. *Subtracting 6 from both sides:
[tex]\[
-2x = -3 - 6
\][/tex]
5. Simplifying the right-hand side:
[tex]\[
-2x = -9
\][/tex]
The number that should be subtracted from both sides of the equation to isolate the [tex]\( -2x \)[/tex] term is [tex]\( 6 \)[/tex].
