Solve Linear Equation: 3x+4+8x-15=0 Step by Step

Question

3x+4+8x15=0 3x+4+8x-15=0

x=? x=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Collect terms
00:14 Positive times negative always equals negative
00:21 Isolate the unknown X
00:36 Simplify what we can
00:42 Isolate the unknown X
00:53 And this is the solution to the question

Step-by-Step Solution

To solve the equation 3x+4+8x15=0 3x + 4 + 8x - 15 = 0 , we begin by combining the terms that involve x x and the constant terms:

Step 1: Combine like terms.
The terms involving x x are 3x 3x and 8x 8x . Adding these yields:

11x 11x

The constant terms are +4 +4 and 15-15. Combining these gives:

+415=11 +4 - 15 = -11

Thus, the equation becomes:

11x11=0 11x - 11 = 0

Step 2: Solve for x x .
To isolate x x , add 11 to both sides of the equation:

11x11+11=0+11 11x - 11 + 11 = 0 + 11 11x=11 11x = 11

Now, divide both sides by 11:

x=1111 x = \frac{11}{11} x=1 x = 1

Therefore, the solution to the equation is x=1 x = 1 .

Answer

1 1