3x-16=-7x-46

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Solution for 3x-16=-7x-46 equation:


Simplifying
3x + -16 = -7x + -46

Reorder the terms:
-16 + 3x = -7x + -46

Reorder the terms:
-16 + 3x = -46 + -7x

Solving
-16 + 3x = -46 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-16 + 3x + 7x = -46 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-16 + 10x = -46 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 10x = -46 + 0
-16 + 10x = -46

Add '16' to each side of the equation.
-16 + 16 + 10x = -46 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = -46 + 16
10x = -46 + 16

Combine like terms: -46 + 16 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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