-8(6x+7)-7(2x-1)=75
To solve the equation -8(6x+7) - 7(2x-1) = 75, we need to use the distributive property to simplify the expression on both sides of the equation.
Starting with the left side:
-8(6x+7) - 7(2x-1)
Using the distributive property:
-48x - 56 - 14x + 7
Combining like terms, we get:
-62x - 49
So our equation becomes:
-62x - 49 = 75
To isolate x, we need to move the constant term to the other side of the equation. We can do this by adding 49 to both sides:
-62x - 49 + 49 = 75 + 49
-62x = 124
Finally, to solve for x, we divide both sides by -62:
-62x / -62 = 124 / -62
x = -2
Therefore, the solution to the equation -8(6x+7) - 7(2x-1) = 75 is x = -2.
To solve the given equation -8(6x+7)-7(2x-1)=75, we will follow these step-by-step instructions:
Step 1: Distribute(-8) to (6x+7):
-48x - 56 - 7(2x-1)=75
Step 2: Distribute (-7) to (2x-1):
-48x - 56 - 14x + 7 = 75
Step 3: Combine like terms on the left side of the equation:
-62x - 49 = 75
Step 4: Add 49 to both sides of the equation:
-62x = 75 + 49
Step 5: Simplify:
-62x = 124
Step 6: Divide both sides by -62:
x = 124 / -62
Step 7: Simplify:
x = -2
Therefore, the value of x that solves the equation -8(6x+7)-7(2x-1)=75 is x = -2.
To solve the equation -8(6x+7)-7(2x-1)=75, you can follow these steps:
Step 1: Distribute the terms within each parentheses:
-48x - 56 - 14x + 7 = 75
Step 2: Combine like terms on the left side of the equation:
-48x - 14x - 56 + 7 = 75
-62x - 49 = 75
Step 3: Move the constant term to the right side by adding 49 to both sides of the equation:
-62x = 75 + 49
-62x = 124
Step 4: Solve for x by dividing both sides of the equation by -62:
x = 124 / -62
x = -2
Therefore, the solution to the equation -8(6x+7)-7(2x-1)=75 is x = -2.