Question

Solve for X. -3x-8+6x=7

Answer 1

x=5

Explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

Answer 2

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

1. Combine like terms: 3x - 8 = 7
2. Add 8 on both sides: 3x = 15
3. Divide 3 on both sides: x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute: -3(5) - 8 + 6(5) = 7
2. Multiply: -15 - 8 + 30 = 7
3. Subtract: -23 + 30 = 7
4. Add: 7 = 7

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.