which expression is equivalent to 7 {x+ 5} = 2 {x + 3}

Answer 1

To find an expression that is equivalent to the equation \( 7 {x + 5} = 2 {x + 3} \), we can start by distributing the constants 7 and 2 within the brackets.

1. Distribute the 7: \[ 7 {x + 5} = 7x + 35 \]

2. Distribute the 2: \[ 2 {x + 3} = 2x + 6 \]

Now, we can rewrite the equation with these distributions: \[ 7x + 35 = 2x + 6 \]

This gives us the equivalent expression. You can also rearrange it if needed: \[ 7x - 2x = 6 - 35 \] \[ 5x = -29 \]

Thus, the equivalent expression in its original form is \( 7(x + 5) - 2(x + 3) = 0 \).