Math Problem Statement

-3(3x + 15) - (10 + x) = 95

Solution

The equation shown in the image is:

3(3x+15)(10+x)=95-3(3x + 15) - (10 + x) = 95

Let's solve it step by step:

Step 1: Distribute the terms.

First, distribute the -3 across the expression (3x + 15) and distribute the negative sign across the (10 + x):

33x315(10+x)=95-3 \cdot 3x - 3 \cdot 15 - (10 + x) = 95

This simplifies to:

9x4510x=95-9x - 45 - 10 - x = 95

Step 2: Combine like terms.

Now, combine the terms involving x and the constants:

9xx4510=95-9x - x - 45 - 10 = 95

This simplifies further to:

10x55=95-10x - 55 = 95

Step 3: Solve for xx.

Add 55 to both sides of the equation to isolate the term with xx:

10x=95+55-10x = 95 + 55

10x=150-10x = 150

Now, divide both sides by 10-10 to solve for xx:

x=15010x = \frac{150}{-10}

x=15x = -15

Solution:

The value of xx is 15-15.

Do you want further details or have any questions? Here are some related problems to try:

  1. Solve 5(2x3)(x+4)=205(2x - 3) - (x + 4) = 20.
  2. Find xx in 4(x+7)+3(2x1)=254(x + 7) + 3(2x - 1) = 25.
  3. Solve for xx: 2(4x+5)+7=19-2(4x + 5) + 7 = 19.
  4. Simplify and solve: 6(3x+8)=2(x4)6 - (3x + 8) = 2(x - 4).
  5. Solve 2(x+3)5(2x1)=02(x + 3) - 5(2x - 1) = 0.

Tip: When solving equations, always distribute first before combining like terms to avoid mistakes.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Distributive Property

Formulas

Distribute a over (b + c): a(b + c) = ab + ac
Combine like terms: ax + bx = (a + b)x

Theorems

-

Suitable Grade Level

Grades 6-9