3(5+7x)-(9-4x)+11=7(5x+9)-3

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Solution for 3(5+7x)-(9-4x)+11=7(5x+9)-3 equation:


Simplifying
3(5 + 7x) + -1(9 + -4x) + 11 = 7(5x + 9) + -3
(5 * 3 + 7x * 3) + -1(9 + -4x) + 11 = 7(5x + 9) + -3
(15 + 21x) + -1(9 + -4x) + 11 = 7(5x + 9) + -3
15 + 21x + (9 * -1 + -4x * -1) + 11 = 7(5x + 9) + -3
15 + 21x + (-9 + 4x) + 11 = 7(5x + 9) + -3

Reorder the terms:
15 + -9 + 11 + 21x + 4x = 7(5x + 9) + -3

Combine like terms: 15 + -9 = 6
6 + 11 + 21x + 4x = 7(5x + 9) + -3

Combine like terms: 6 + 11 = 17
17 + 21x + 4x = 7(5x + 9) + -3

Combine like terms: 21x + 4x = 25x
17 + 25x = 7(5x + 9) + -3

Reorder the terms:
17 + 25x = 7(9 + 5x) + -3
17 + 25x = (9 * 7 + 5x * 7) + -3
17 + 25x = (63 + 35x) + -3

Reorder the terms:
17 + 25x = 63 + -3 + 35x

Combine like terms: 63 + -3 = 60
17 + 25x = 60 + 35x

Solving
17 + 25x = 60 + 35x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-35x' to each side of the equation.
17 + 25x + -35x = 60 + 35x + -35x

Combine like terms: 25x + -35x = -10x
17 + -10x = 60 + 35x + -35x

Combine like terms: 35x + -35x = 0
17 + -10x = 60 + 0
17 + -10x = 60

Add '-17' to each side of the equation.
17 + -17 + -10x = 60 + -17

Combine like terms: 17 + -17 = 0
0 + -10x = 60 + -17
-10x = 60 + -17

Combine like terms: 60 + -17 = 43
-10x = 43

Divide each side by '-10'.
x = -4.3

Simplifying
x = -4.3

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