Question: "To simplify the expression, 3(4x−3)=6(2x+1)−15."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

alesterp

Answered question

2021-08-19

To simplify the expression,

3 (4 x - 3) = 6 (2 x + 1) - 15

Answer & Explanation

okomgcae

Skilled2021-08-20Added 93 answers

Calculation:
We have given as equation as

3 (4 x - 3) = 6 (2 x + 1) - 15

We will use various properties of expression for example distributive property, associative property, commutative property as required.
Distributive property:

a (b + c) = a b + a c

Associative property:

a + (b + c) = (a + b) + c

and

a (b c) = (a b) c = (a c) b

Commutative property:

a + b = b + a

and

a b = b a

Now let us simplify given equation.

3 (4 x - 3) = 6 (2 x + 1) - 15

\Rightarrow 12 x - 9 = 12 x + 6

- 15

[Opening parentheses using distributive property]

\Rightarrow 12 x - 9 x = 12 x - 9

[Simplifying]
Above equation will be true for all real number.
Hence, we can say that solution for given equation will be all real numbers.

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