To solve for [tex]\( x \)[/tex] in the equation [tex]\( -7x + 5(x + 4) = 10 \)[/tex], follow these steps:
1. Expand the equation:
Distribute the 5 through the parentheses:
[tex]\[
-7x + 5(x + 4) = -7x + 5x + 20
\][/tex]
2. Combine like terms:
Combine the [tex]\( x \)[/tex]-terms together:
[tex]\[
-7x + 5x + 20 = 10
\][/tex]
[tex]\[
-2x + 20 = 10
\][/tex]
3. Isolate the term involving [tex]\( x \)[/tex]:
Subtract 20 from both sides of the equation:
[tex]\[
-2x + 20 - 20 = 10 - 20
\][/tex]
[tex]\[
-2x = -10
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
Divide both sides by -2:
[tex]\[
x = \frac{-10}{-2}
\][/tex]
[tex]\[
x = 5
\][/tex]
Thus, the value of [tex]\( x \)[/tex] is:
[tex]\[
x = 5
\][/tex]
