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