6x-46=10x+22

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Solution for 6x-46=10x+22 equation:


Simplifying
6x + -46 = 10x + 22

Reorder the terms:
-46 + 6x = 10x + 22

Reorder the terms:
-46 + 6x = 22 + 10x

Solving
-46 + 6x = 22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-46 + 6x + -10x = 22 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-46 + -4x = 22 + 10x + -10x

Combine like terms: 10x + -10x = 0
-46 + -4x = 22 + 0
-46 + -4x = 22

Add '46' to each side of the equation.
-46 + 46 + -4x = 22 + 46

Combine like terms: -46 + 46 = 0
0 + -4x = 22 + 46
-4x = 22 + 46

Combine like terms: 22 + 46 = 68
-4x = 68

Divide each side by '-4'.
x = -17

Simplifying
x = -17

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