Question
Solve the equation using addition or subtraction. Check your answer.
5.2 equals negative 10 plus x
Question content area bottom
Part 1
xequals
enter your response here (Simplify your answer. Type an integer or a decimal.)
5.2 equals negative 10 plus x
Question content area bottom
Part 1
xequals
enter your response here (Simplify your answer. Type an integer or a decimal.)
Answers
GPT-4o mini
To solve the equation \( 5.2 = -10 + x \), we can isolate \( x \) by adding 10 to both sides of the equation.
Starting with:
\[ 5.2 = -10 + x \]
Add 10 to both sides:
\[ 5.2 + 10 = x \]
Simplifying:
\[ 15.2 = x \]
So, the solution is:
\[ x = 15.2 \]
**Check the solution:**
Substituting \( x = 15.2 \) back into the original equation:
\[ 5.2 = -10 + 15.2 \]
Calculating the right-hand side:
\[ -10 + 15.2 = 5.2 \]
Since both sides of the equation are equal, our solution \( x = 15.2 \) is verified as correct.
Starting with:
\[ 5.2 = -10 + x \]
Add 10 to both sides:
\[ 5.2 + 10 = x \]
Simplifying:
\[ 15.2 = x \]
So, the solution is:
\[ x = 15.2 \]
**Check the solution:**
Substituting \( x = 15.2 \) back into the original equation:
\[ 5.2 = -10 + 15.2 \]
Calculating the right-hand side:
\[ -10 + 15.2 = 5.2 \]
Since both sides of the equation are equal, our solution \( x = 15.2 \) is verified as correct.