17x+(x-31)=2(5x-50)-3

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Solution for 17x+(x-31)=2(5x-50)-3 equation:


Simplifying
17x + (x + -31) = 2(5x + -50) + -3

Reorder the terms:
17x + (-31 + x) = 2(5x + -50) + -3

Remove parenthesis around (-31 + x)
17x + -31 + x = 2(5x + -50) + -3

Reorder the terms:
-31 + 17x + x = 2(5x + -50) + -3

Combine like terms: 17x + x = 18x
-31 + 18x = 2(5x + -50) + -3

Reorder the terms:
-31 + 18x = 2(-50 + 5x) + -3
-31 + 18x = (-50 * 2 + 5x * 2) + -3
-31 + 18x = (-100 + 10x) + -3

Reorder the terms:
-31 + 18x = -100 + -3 + 10x

Combine like terms: -100 + -3 = -103
-31 + 18x = -103 + 10x

Solving
-31 + 18x = -103 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-31 + 18x + -10x = -103 + 10x + -10x

Combine like terms: 18x + -10x = 8x
-31 + 8x = -103 + 10x + -10x

Combine like terms: 10x + -10x = 0
-31 + 8x = -103 + 0
-31 + 8x = -103

Add '31' to each side of the equation.
-31 + 31 + 8x = -103 + 31

Combine like terms: -31 + 31 = 0
0 + 8x = -103 + 31
8x = -103 + 31

Combine like terms: -103 + 31 = -72
8x = -72

Divide each side by '8'.
x = -9

Simplifying
x = -9

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