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-4(-3x+5)-3x=3(x-4)-6

 Mar 6, 2017
 #1
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1. Multiply each term in the parenthesis by -4, 3

4(3x+5)3x=3(x4)6

 

2. Calculate the product

Multiplying two negatives equals a positive: (-)*(-)=(+)

Use rules of multiplication to calculate the expression

4×(3x)4×53x=3x126

 

3. Collect the like terms by subtracting their coefficients

Extract the negative sign from the expression

12x203x=3x=3x126

 

4. Subtract the numbers

Add the numbers

(123)x20=3x(12+6)

 

5. Move variable to the left by adding its opposite to both sides

Move constant to the right by adding its opposite to both sides

9x20=3x18

 

6. Eliminate the opposites

9x3x20+20=3x3x18+20

 

7. Collect the like terms by subtracting their coefficients

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger

9x3x=18+20

 

8. Subtract the numbers

(93)x=+(2018)

 

9. Divide both sides of the equation by 6

6x=2

 

10. Any expression divided by itself equals 1

Write the division as a fraction

6x÷6=2÷6

 

11. Reduce the fraction with 2

x=26

 

Answer

x=13

 

Alternative form

x=≈0.333333

 

 

 

And there goes 30 minutes of my life... 

 Mar 6, 2017

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