6x + 4(2x + 3) = 34 + 3x
6x + 4(2x) + (4)(3) = 34 + 3x
6x + 8x + 12 = 34 + 3x
14x + 12 = 34 + 3x
12 = 39 + -11x
-27/-11 = =11x/-11
2.45 = x
I get x=2
Not sure how 34 changed to 39
6x + 4(2x + 3) = 34 + 3x
6x + 8x + 12 = 34 + 3x
14x - 3x = 34 - 12
11x = 22
x = 2
You can prove my answer is correct by substituting 2 for x in your original problem.
To solve the equation 6x + 4(2x + 3) = 34 + 3x, we can follow these steps:
1. Distribute the 4 to both terms inside the parentheses: 6x + 8x + 12 = 34 + 3x.
This is done by multiplying 4 with both 2x and 3.
2. Combine like terms on both sides of the equation: 14x + 12 = 34 + 3x.
Combine the x terms on the left side and the constant terms on the right side.
3. Move all the x terms to one side of the equation by subtracting 3x from both sides: 14x - 3x + 12 = 34 + 3x - 3x.
This will eliminate the x term on the right side.
4. Simplify the equation: 11x + 12 = 34.
Combine the x terms on the left side.
5. Move the constant term to the opposite side by subtracting 34 from both sides: 11x + 12 - 34 = 34 - 34.
This will eliminate the constant term on the right side.
6. Simplify the equation further: 11x - 22 = 0.
Combine the constant terms on the left side.
7. Move the constant term to the opposite side by adding 22 to both sides: 11x - 22 + 22 = 0 + 22.
This will eliminate the constant term on the left side.
8. Simplify the equation: 11x = 22.
Combine the constant terms on the right side.
9. Solve for x by dividing both sides by 11: (11x)/11 = 22/11.
This will isolate the x variable on the left side.
10. Simplify the equation further: x = 2.
Divide 22 by 11 to find the value of x.
Therefore, the solution to the equation 6x + 4(2x + 3) = 34 + 3x is x = 2.