Solve the Linear Equation: 7(x-4)=(6-x)×3 Step by Step

Question

Solve for X:

$7(x-4)=(6-x)\times3$

00:00 Find X

00:04 Make sure to open parentheses properly, multiply by each factor

00:21 Solve each multiplication separately

00:27 Positive times negative is always negative

00:51 Arrange the equation so that X is isolated on one side

01:14 Collect like terms

01:25 Isolate X

01:33 Simplify as much as possible

01:38 And that's the solution to the problem

The goal is to solve the linear equation $7(x-4) = (6-x) \times 3$ . Follow these steps to find the solution:

Step 1: Open the parentheses using the distributive property. This gives us: $7(x - 4) = 7x - 28$ $(6 - x) \times 3 = 18 - 3x$ Thus, the equation becomes: $7x - 28 = 18 - 3x$
Step 2: Combine like terms by getting all $x$ -terms on one side and constant terms on the other. $7x + 3x = 18 + 28$ Simplify to get: $10x = 46$
Step 3: Solve for $x$ by dividing both sides by 10. $x = \frac{46}{10} = 4.6$

Therefore, the solution to the problem is $x = 4.6$ .

$4.6$