Question

Solve:
2(3x-2) + 4(2x-5) = 4

Answer 1

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$\huge{\fbox{\pink{Solution:-}}}$

$2(3x - 2) + 4(2x - 5) = 4 \\ \implies(6x - 4) + (8x - 20) = 4 \\ \implies6x - 4 + 8x - 20 = 4 \: \: \: \: \: \: \: \\ \implies14x - 24 = 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\implies14x = 4 + 24 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \implies14x = 28 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \implies \: x = \frac{28}{14} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \implies \: x = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

⠀

$\huge{\fbox{\pink{Step by Step Explaination:-}}}$

1. Firstly, simplify the LHS. By multiplying the outer number with the bracket.
2. Further, simplify the brackets.
3. Then, solve the equation.

Answer 2

Answer:

Given:-

Solve: $2( 3x - 2 ) + 4( 2x - 5 ) = 4$

To Find:-

The solution of the given value.

Note:-

●》Acccording to BODMAS, first bracket value should be solved.

●》If bracket value could not be solved then the number or sign will ( which is out of bracket ) will be multiplied to it.

●》When we rearrange a term from one side to another~

+ becomes -

- becomes +

× becomes ÷

÷ becomes ×

Solution:-

☆》According to note first and second point~

▪︎$2( 3x - 2 ) + 4( 2x - 5 ) = 4$

☆》After multiplying the outside value with the bracket value~

▪︎$6x - 2 + 8x - 20 = 4$

☆》After doing variable and constant calculations~

▪︎$14x - 24 = 4$

☆》According to note third point ( rearrangement ) ~

▪︎$14x = 4 + 24$

▪︎$14x = 28$

▪︎$x = 28/14$

☆》After doing calculations~

▪︎$x = 2$

Checking:-

Now x = 2 , so we will apply to check it .

▪︎$2 ( 3 × 2 - 2 ) + 4 ( 2 × 2 - 5 ) = 4 ?$

▪︎$2( 6 - 2 ) + 4( 4 - 5 ) = 4 ?$

▪︎$2(4) + 4(-1) = 4 ?$

After doing bracket calculations~

▪︎$8 - 4 = 4 ?$

▪︎$4 = 4 ?$ ( yes)

Hence, proved that value of x = 2 //

Answer:-

The value of $x = 2$