To find the value of [tex]\( x \)[/tex] that makes the equation [tex]\( -6x + 3 = 45 \)[/tex] true, follow these steps:
1. Start with the original equation:
[tex]\( -6x + 3 = 45 \)[/tex]
2. Subtract 3 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
-6x + 3 - 3 = 45 - 3
\][/tex]
Simplifying this, we get:
[tex]\[
-6x = 42
\][/tex]
3. Next, divide both sides by -6 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{42}{-6}
\][/tex]
4. Simplifying the fraction, we get:
[tex]\[
x = -7
\][/tex]
So, the value of [tex]\( x \)[/tex] that makes the equation true is:
[tex]\[
x = -7
\][/tex]
