Which step is missing when solving the equation for x?
8x + 4 = 6 - 2(x - 4)
8x + 4 = 6 - 2x + 8
10x + 4 = 14
10x = 10
x = 1
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8x + 4 = 12x
8x + 4 = 14 - 2x
8x = -2x +10
-12 = -12x
The missing step is combining like terms. The equation should be simplified further before solving for x.
The step that is missing when solving the equation for x is combining like terms. Let's correct it:
8x + 4 = 6 - 2(x - 4)
8x + 4 = 6 - 2x + 8
8x + 4 = 14 - 2x
Now, we can combine like terms:
8x + 2x + 4 = 14
10x + 4 = 14
Next, we can isolate the variable:
10x = 14 - 4
10x = 10
Finally, solve for x:
x = 10 / 10
x = 1
To solve the equation for x, let's go through each step and identify the missing step.
Step 1: Distribute the -2 to the terms inside the parentheses on the right side of the equation.
8x + 4 = 6 - 2x + 8
Step 2: Combine like terms on both sides of the equation.
8x + 4 = 6 - 2x + 8
8x + 4 = 14 - 2x
Step 3 (Missing Step): Add 2x to both sides of the equation to get all the x terms on the same side.
8x + 4 = 14 - 2x
8x + 4 + 2x = 14 - 2x + 2x
8x + 2x + 4 = 14
Step 4: Combine like terms again.
8x + 2x + 4 = 14
10x + 4 = 14
Step 5: Subtract 4 from both sides of the equation.
10x + 4 = 14
10x + 4 - 4 = 14 - 4
10x = 10
Step 6: Divide both sides of the equation by 10 to isolate the variable x.
10x = 10
10x/10 = 10/10
x = 1
Therefore, the missing step in the equation should be adding 2x to both sides of the equation in Step 3:
8x + 4 + 2x = 14.