16-(x-5)=3x+17

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Solution for 16-(x-5)=3x+17 equation:


Simplifying
16 + -1(x + -5) = 3x + 17

Reorder the terms:
16 + -1(-5 + x) = 3x + 17
16 + (-5 * -1 + x * -1) = 3x + 17
16 + (5 + -1x) = 3x + 17

Combine like terms: 16 + 5 = 21
21 + -1x = 3x + 17

Reorder the terms:
21 + -1x = 17 + 3x

Solving
21 + -1x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
21 + -1x + -3x = 17 + 3x + -3x

Combine like terms: -1x + -3x = -4x
21 + -4x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -4x = 17 + 0
21 + -4x = 17

Add '-21' to each side of the equation.
21 + -21 + -4x = 17 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = 17 + -21
-4x = 17 + -21

Combine like terms: 17 + -21 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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