Solve equations by first removing parentheses and collecting like terms...solve equations with no solutions and equations with an infinite number of solutions.

solve.

2[ 5 - 3(4 - x ) ] - 7 = 3 [ 2 (5x - 1) + 8 ] -15

please show me how you work this type of problems.. thank you

## Answers (2)

Follow the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

Given:

2[5 − 3(4 − x)] − 7 = 3[2(5x − 1) + 8] − 15

Distribute in the inner parentheses first and simplify:

2[5 − 12 + 3x] − 7 = 3[10x − 2 + 8] − 15

2[-7 + 3x] − 7 = 3[10x + 6] − 15

Distribute in the brackets and simplify:

-14 + 6x − 7 = 30x + 18 − 15

-21 + 6x = 30x + 3

Subtract 6x from both sides:

-21 = 24x + 3

Subtract 3 from both sides:

-24 = 24x

Divide by 24:

x = -1

ok so first start off with 4-x which in turn will be 2[ 5 - 12 + 3x] - 7 = 3 [2 (5x-1) + 8] - 15. Next is taking care of the other parentheses and also combining like terms (the 12 and 5) 2[ -8 + 3x] - 7 = 3 [10x-2 + 8] - 15 Again common terms 2[ -8 + 3x] - 7 = 3 [10x + 6] - 15. Next is distributing which will be -16 + 6x - 7 = 30x + 18. Again Combine like terms -10x -7 = 30x + 18. Next you add the 10x over and subtract the 18 over which will get you -25 = 40x. Next is dividing (ughh) you will get 40/25 when reduced gets you 8/5 (8 over 5). so x = 8/5. Not sure if thats how it goes but thats what I got.