Question

Solve for x : 3(−5x+7)+5/4=−7x (1 point)Responsesx=−2x equals negative 2x=−3x equals negative 3x=−4x equals negative 4x=−1

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we can begin by simplifying the expression on the left side of the equation:

3(-5x + 7) + 5/4 = -7x

Distribute 3 to both terms inside the parentheses:

-15x + 21 + 5/4 = -7x

Next, combine like terms on the left side:

-15x + 21/1 + 5/4 = -7x

To add the fractions, we need a common denominator, which in this case is 4:

-15x + (21/1)(4/4) + (5/4) = -7x

-15x + 84/4 + 5/4 = -7x

Combine the fractions:

-15x + (84 + 5)/4 = -7x

Simplify the numerator:

-15x + 89/4 = -7x

To remove the fraction, we can multiply both sides of the equation by 4:

4(-15x + 89/4) = 4(-7x)

Distribute 4 to both terms inside the parentheses:

-60x + 89 = -28x

Now, isolate the variable terms on one side by subtracting -28x from both sides:

-60x + 89 - (-28x) = -28x - (-28x)

Simplify:

-60x + 28x + 89 = 0

Combine like terms:

-32x + 89 = 0

Next, move 89 to the right side of the equation by subtracting it from both sides:

-32x + 89 - 89 = 0 - 89

Simplify:

-32x = -89

Finally, solve for x by dividing both sides by -32:

-32x / -32 = -89 / -32

Simplify:

x = 89/32