Question

Determine the number of solutions for 3(2x + 5) – 6x = 40

Answer 1

To solve the equation, isolate x.

⇒
`\sf{3(2x+5)-6x=40}`

Distribute 3 :

⇒
`\sf{3*2x+3*5-6x=40}`

⇒
`\sf{6x+15-6x=40}`

subtract 15 from both sides :

⇒
`\sf{6x-6x=40-15}`

⇒
`\sf{0x=25}`

⇒
`\sf{0=25}`

This equation has no solutions.

Answer 2

Explanation:

To determine the number of solutions for the equation 3(2x + 5) - 6x = 40, we can solve it step by step:

1. Simplify the equation:

Start by distributing the 3 to the terms inside the parentheses: 6x + 15 - 6x = 40.

The 6x terms cancel each other out, leaving us with 15 = 40.

2. Analyze the resulting equation:

Since 15 does not equal 40, we have a contradiction.

This means that there are no solutions to the equation.

In summary, the equation 3(2x + 5) - 6x = 40 has no solutions.