6x+1=16x-31

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Solution for 6x+1=16x-31 equation:


Simplifying
6x + 1 = 16x + -31

Reorder the terms:
1 + 6x = 16x + -31

Reorder the terms:
1 + 6x = -31 + 16x

Solving
1 + 6x = -31 + 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 + 6x + -16x = -31 + 16x + -16x

Combine like terms: 6x + -16x = -10x
1 + -10x = -31 + 16x + -16x

Combine like terms: 16x + -16x = 0
1 + -10x = -31 + 0
1 + -10x = -31

Add '-1' to each side of the equation.
1 + -1 + -10x = -31 + -1

Combine like terms: 1 + -1 = 0
0 + -10x = -31 + -1
-10x = -31 + -1

Combine like terms: -31 + -1 = -32
-10x = -32

Divide each side by '-10'.
x = 3.2

Simplifying
x = 3.2

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