-2(17x-4)+7(5x-7)-3=9-2

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Solution for -2(17x-4)+7(5x-7)-3=9-2 equation: 


Simplifying
-2(17x + -4) + 7(5x + -7) + -3 = 9 + -2

Reorder the terms:
-2(-4 + 17x) + 7(5x + -7) + -3 = 9 + -2
(-4 * -2 + 17x * -2) + 7(5x + -7) + -3 = 9 + -2
(8 + -34x) + 7(5x + -7) + -3 = 9 + -2

Reorder the terms:
8 + -34x + 7(-7 + 5x) + -3 = 9 + -2
8 + -34x + (-7 * 7 + 5x * 7) + -3 = 9 + -2
8 + -34x + (-49 + 35x) + -3 = 9 + -2

Reorder the terms:
8 + -49 + -3 + -34x + 35x = 9 + -2

Combine like terms: 8 + -49 = -41
-41 + -3 + -34x + 35x = 9 + -2

Combine like terms: -41 + -3 = -44
-44 + -34x + 35x = 9 + -2

Combine like terms: -34x + 35x = 1x
-44 + 1x = 9 + -2

Combine like terms: 9 + -2 = 7
-44 + 1x = 7

Solving
-44 + 1x = 7

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 1x = 7 + 44

Combine like terms: -44 + 44 = 0
0 + 1x = 7 + 44
1x = 7 + 44

Combine like terms: 7 + 44 = 51
1x = 51

Divide each side by '1'.
x = 51

Simplifying
x = 51

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