3x+34=13x-16

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Solution for 3x+34=13x-16 equation: 


Simplifying
3x + 34 = 13x + -16

Reorder the terms:
34 + 3x = 13x + -16

Reorder the terms:
34 + 3x = -16 + 13x

Solving
34 + 3x = -16 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
34 + 3x + -13x = -16 + 13x + -13x

Combine like terms: 3x + -13x = -10x
34 + -10x = -16 + 13x + -13x

Combine like terms: 13x + -13x = 0
34 + -10x = -16 + 0
34 + -10x = -16

Add '-34' to each side of the equation.
34 + -34 + -10x = -16 + -34

Combine like terms: 34 + -34 = 0
0 + -10x = -16 + -34
-10x = -16 + -34

Combine like terms: -16 + -34 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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