13x+1=16x-5

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Solution for 13x+1=16x-5 equation:


Simplifying
13x + 1 = 16x + -5

Reorder the terms:
1 + 13x = 16x + -5

Reorder the terms:
1 + 13x = -5 + 16x

Solving
1 + 13x = -5 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
1 + 13x + -16x = -5 + 16x + -16x

Combine like terms: 13x + -16x = -3x
1 + -3x = -5 + 16x + -16x

Combine like terms: 16x + -16x = 0
1 + -3x = -5 + 0
1 + -3x = -5

Add '-1' to each side of the equation.
1 + -1 + -3x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -5 + -1
-3x = -5 + -1

Combine like terms: -5 + -1 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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