6x-5=16x-42

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Solution for 6x-5=16x-42 equation:


Simplifying
6x + -5 = 16x + -42

Reorder the terms:
-5 + 6x = 16x + -42

Reorder the terms:
-5 + 6x = -42 + 16x

Solving
-5 + 6x = -42 + 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.
-5 + 6x + -16x = -42 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-5 + -10x = -42 + 16x + -16x

Combine like terms: 16x + -16x = 0
-5 + -10x = -42 + 0
-5 + -10x = -42

Add '5' to each side of the equation.
-5 + 5 + -10x = -42 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = -42 + 5
-10x = -42 + 5

Combine like terms: -42 + 5 = -37
-10x = -37

Divide each side by '-10'.
x = 3.7

Simplifying
x = 3.7

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