Question

solve the equation below, where there are c terms on both sides of the equation. whats the value of c? there are many ways to solve this equation. were trying to get c alone on one side of the equation, equal to some number. we can start by first trying to get all of the numbers on the right. what move can you make first to get rid of the 11 on the left so that all of the numbers are on the right side of the equation? \\(11 + 2c = 19 - 2c\\) add 11 and 2c on the left subtract 11 on both sides add 11 on both sides

Explanation:

Step1: Select correct first step

To move the 11 to the right, subtract 11 from both sides:
$11 + 2c - 11 = 19 - 2c - 11$

Step2: Simplify both sides

Simplify the constants on each side:
$2c = 8 - 2c$

Step3: Isolate c terms on left

Add $2c$ to both sides to gather c terms:
$2c + 2c = 8 - 2c + 2c$

Step4: Simplify to solve for c

Combine like terms and solve for c:
$4c = 8$
$\frac{4c}{4} = \frac{8}{4}$
$c = 2$

Answer:

First move: Subtract 11 on both sides
Value of $c$: $2$