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

1 answer

To solve for x, we need to simplify the equation by distributing the 3 to every term inside the parentheses:

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

This simplifies to:

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

To get rid of the fraction, we can multiply every term in the equation by 4 to eliminate the denominator:

4(-15x + 21) + 5 = -28x

Simplifying further, we have:

-60x + 84 + 5 = -28x

Combine like terms:

-60x + 89 = -28x

To get all the x terms on one side of the equation, we can subtract -28x from both sides:

-60x + 28x + 89 = 0

Combine like terms:

-32x + 89 = 0

To isolate x, we have to subtract 89 from both sides:

-32x + 89 - 89 = 0 - 89

Simplifying further:

-32x = -89

And finally, divide both sides by -32 to solve for x:

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

x = 2.78125
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