solve equation??

Question

6x+7=2(3x+4)

Answer 1

Hi! Here is the process to get to the answer:

Equation: 6x+7=2(3x+4)

Step 1: Expand Parentheses.

6x+7=6x+8

Step 2: Bring x's to one side and numbers to other.

6x-6x=8-7

Solve: Since 6x-6x=0x, the equation would give 0=1, which gives no real value for x.

Answer: This equation has no solution.

Answer 2

Answer 3

the expression we're given here is

6x + 7 = 2(3x+4)

i would start by distributing the 2

6x + 7 = 6x + 8

then combine like terms

6x - 6x = 8 - 7

0 = 1

since that creates a contradiction that means that there is no solution!

Answer 4

Let's solve the equation 6x+7=2(3x+4)6x + 7 = 2(3x + 4)6x+7=2(3x+4).

Step 1: Distribute the 2 on the right-hand side

6x+7=2×3x+2×46x + 7 = 2 \times 3x + 2 \times 46x+7=2×3x+2×4 6x+7=6x+86x + 7 = 6x + 86x+7=6x+8

Step 2: Subtract 6x6x6x from both sides to get rid of the 6x6x6x on the right

6x+7−6x=6x+8−6x6x + 7 - 6x = 6x + 8 - 6x6x+7−6x=6x+8−6x 7=87 = 87=8

This is a contradiction because 7 does not equal 8. This means that the equation has no solution.

Final Answer:

No solution.

Answer 5

There are three cases for solutions of linear equations.

x = c: When x = a constant, there is one solution.

c1 = c2: When it ends up with two different numbers = each other, like 3 = 4 or 0 = 1, there's no solution.

c=c: When the same number equals itself, such as 1 = 1, then there are infinite solutions.

6x+7=2(3x+4)

Distribute the 2.

6x + 7 = 6x + 4

Subtract 6x from both sides.

7 = 4

That's one constant = a different constant: no solutions.

Answer 6

Let's solve the equation step by step:

Given equation:

6x+7=2(3x+4)6x + 7 = 2(3x + 4)

Step 1: Distribute the 2 on the right-hand side

Distribute the 22 to both terms inside the parentheses:

6x+7=2×3x+2×46x + 7 = 2 \times 3x + 2 \times 4 6x+7=6x+86x + 7 = 6x + 8Step 2: Move like terms to one side

Now, subtract 6x6x from both sides to eliminate 6x6x from the right-hand side:

6x+7−6x=6x+8−6x6x + 7 - 6x = 6x + 8 - 6x 7=87 = 8Step 3: Analyze the result

The result is a contradiction (7=87 = 8), which is not true.

Conclusion:

Since we ended up with a false statement, there is no solution to this equation. This means the equation is inconsistent. Therefore, the answer is:

No solution\boxed{\text{No solution}}