Question

Does anyone have the answer to this? 3(x+2)-7 = 5x + 7.

Answer 1

Answer:

$x = -4$

Step-by-step explanation:

As I was taught in Algebra class, we use the distributive property to solve this, although there are other ways.

$3(x+2)-7 = 5x + 7$

Step 1: Distribute.

We are going to distribute 3 to $x$ and +2 (positive 2). Which means multiplying 3 to $x$ and 2.

$3(x+2)\\3\cdot x = 3x\\3\cdot 2 = 6\\\\= 3x+6$

So, therefore, we have $3x+6-7=5x+7$

Step 2: Combine like terms.

Combining like terms simply means adding, values that are alike. For example, we can only add $x$ and $x$, $y$ and $y$, or a number and another number. Note, we can only combine like terms on one side of the equation, meaning at the end of the equal to sign.

$3x+\bold6\:\:\bold-\bold7=5x+7$

Here we have +6 and -7, so adding those two would result in -1

So, therefore, we have $3x-1=5x+7$

Step 3: Solve for $x$

$3x-1=5x+7$

• Subtract both sides by 7

$3x-1=5x+7\\\:\:\:\:-7\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:-7$

7 - 7 = 0, so it cancels that side out.

-1 + 7 = -8, so we are left with;

$3x-8=5x$

• Subtract 3$\bold x$ from both sides

$3x-8=5x\\-3\:\:\:\:\:\:-3x$

3x - 3x = 0, so it cancels that side out.

5 - 3 = -2, so we are left with;

$-8=2x$

• Divide both sides by 2

$\frac{2x}{2}=\frac{-8}{2}$

2 over 2 cancels out

$\frac{-8}{2} = -4$

x = -4

Answer 2

Answer:

-4

Step-by-step explanation: