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What is the solution to the equation 5 (x minus 6) = 2 (x 3)? x =

Sagot :

the solution to the equation is x=12

The distributive property is defined as

Let us now solve the equation.

5(x - 6) = 2(x + 3)

Using the distributive property, simplify the parentheses on both sides.

5(x - 6) = 2(x + 3)

5x - 30 = 2x + 6

The parenthesis was simplified. However, we have one x term on one side and another x term on the other.

5x - 30 - 2x = 2x + 6 - 2x

3x - 30 = 6

We only have an x term on one side of the equation now.

To begin, reverse the subtraction by adding 30 to either side of the equation.

To keep an equation balanced or true, we do the identical operation on both sides.

3x - 30 + 30 = 6 + 30

3x = 36

We're getting close to an answer. Only one more step.

The x term is multiplied by 3.

We can undo the multiplication operation by dividing both sides by 3.

3x / 3 = 36 / 3

x = 12

So, x is equal to 12.

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