-3(3x+15)-(10+x)=35
-3(3x+15)-(10+x)=35
Clear the parentheses.
-9x-45 -10-x=35
combine terms.
-10x-55=35
add 55 to both sides.
-10x-55+55=35+55
-10x=90
multiply by -1
10x=-90
divide both sides by 10
10x/10 = -90/10
x=-9
Let's solve the equation step by step:
1. Start by simplifying the equation:
Distribute the -3 on the left side to remove the parentheses:
-3 * 3x = -9x
-3 * 15 = -45
-3(3x + 15) - (10 + x) = -9x - 45 - (10 + x) = -9x - 45 - 10 - x = -9x - x - 55
2. Combine like terms on the right side:
-9x - x - 55 = -10x - 55
3. Let's rewrite the equation with the simplified expression:
-10x - 55 = 35
4. Move the constant term (-55) to the other side of the equation by adding 55 to both sides:
-10x - 55 + 55 = 35 + 55
-10x = 90
5. Divide both sides of the equation by -10 to solve for x:
-10x / -10 = 90 / -10
x = -9
Therefore, the value of x that satisfies the equation -3(3x + 15) - (10 + x) = 35 is x = -9.
To solve the equation -3(3x+15)-(10+x)=35, we will simplify and solve for x.
Step 1: Distribute the -3 to the terms inside the parentheses:
-3 * 3x = -9x
-3 * 15 = -45
The equation now becomes: -9x - 45 - (10+x) = 35
Step 2: Remove the parentheses by distributing the negative sign to the terms inside the second set of parentheses:
-(-10) = +10
-(-x) = +x
The equation simplifies further: -9x - 45 - 10 - x = 35
Step 3: Combine like terms to simplify the equation:
(-9x - x) + (-45 - 10) = 35
-10x - 55 = 35
Step 4: Isolate the variable x by moving the constants to the other side of the equation:
-10x = 35 + 55
-10x = 90
Step 5: Solve for x by dividing both sides of the equation by -10:
x = 90 / -10
x = -9
Therefore, the solution to the equation -3(3x+15)-(10+x)=35 is x = -9.