Solve for X: 3(x-4) + 2 = 2x + 5

Question

This is a linear equation with variables on both sides, a common type of problem in Algebra 1. The goal is to solve for X by isolating it on one side of the equation. You'll use skills such as the distributive property, combining like terms, and inverse operations (like adding or subtracting from both sides). Mastering these steps helps students understand how to balance equations and solve more complex algebraic expressions.

Answer 1

First, distribute the 3 to the (x-4) to obtain

3x-12+2=2x+5

Next simplify to get

3x-10=2x+5

Subtract 2x on both sides to get

x-10=5

Then, finally add 10 to both sides to get

x=5+10

So then x=15

Answer 2

Step 1: Use the distributive property on the left side

Multiply 3 by both terms inside the parentheses:

3 × x = 3x

3 × -4 = -12

Now rewrite the equation:

3x - 12 + 2 = 2x + 5

Step 2: Combine like terms on the left side

-12 + 2 = -10

So the equation becomes:

3x - 10 = 2x + 5

Step 3: Get all variable terms on one side

Subtract 2x from both sides:

3x - 2x - 10 = 2x - 2x + 5

x - 10 = 5

Step 4: Get the constant term on the other side

Add 10 to both sides:

x - 10 + 10 = 5 + 10

x = 15

Final Answer:

x = 15

Answer 3

First step is to distribute the 3 to the entire (x-4) expression. This gives:

3x - 12 + 2 = 2x + 5

Combine like terms on the left:

3x - 10 = 2x + 5

Subtract 2x from both sides to isolate x:

x - 10 = 5

Add 10 to both sides for final answer:

x = 15

I hope this helps!

Answer 4

3(x-4) + 2 = 2x + 5

3x-12 + 2 = 2x + 5 Expand

3x-10 = 2x + 5 Simplify

x-10 = 5

x= 15 Solve

Answer 5

expand, combine like terms

3x -12 +2 = 2x +5

x = 5 -2 +12 = 15

x = 15

Answer 6

Answer 7

Let’s solve this step-by-step:

Given equation:  3(x - 4) + 2 = 2x + 5

Step 1: Use the Distributive property on the left-hand side of the equation.

Multiply by 3 both terms inside the parentheses: 3x - 12 + 2 = 2x + 5

Step 2: Combine like terms

Left side: 3x - 10 = 2x + 5

Step 3: Get all terms with x on one side and constants on the other.

          Subtract 2x from both sides: 3x - 2x - 10 = 2x - 2x + 5

                                                                   x - 10 = 5

                   Add 10 to both sides:       x – 10 + 10 = 5 + 10

                x = 15

Final Answer:

x = 15