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
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
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