5-7x-8+14x-17=11-2+5+28-10+18

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Solution for 5-7x-8+14x-17=11-2+5+28-10+18 equation: 


Simplifying
5 + -7x + -8 + 14x + -17 = 11 + -2 + 5 + 28 + -10 + 18

Reorder the terms:
5 + -8 + -17 + -7x + 14x = 11 + -2 + 5 + 28 + -10 + 18

Combine like terms: 5 + -8 = -3
-3 + -17 + -7x + 14x = 11 + -2 + 5 + 28 + -10 + 18

Combine like terms: -3 + -17 = -20
-20 + -7x + 14x = 11 + -2 + 5 + 28 + -10 + 18

Combine like terms: -7x + 14x = 7x
-20 + 7x = 11 + -2 + 5 + 28 + -10 + 18

Combine like terms: 11 + -2 = 9
-20 + 7x = 9 + 5 + 28 + -10 + 18

Combine like terms: 9 + 5 = 14
-20 + 7x = 14 + 28 + -10 + 18

Combine like terms: 14 + 28 = 42
-20 + 7x = 42 + -10 + 18

Combine like terms: 42 + -10 = 32
-20 + 7x = 32 + 18

Combine like terms: 32 + 18 = 50
-20 + 7x = 50

Solving
-20 + 7x = 50

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 7x = 50 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 50 + 20
7x = 50 + 20

Combine like terms: 50 + 20 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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