2x-10=6x-42

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Solution for 2x-10=6x-42 equation:


Simplifying
2x + -10 = 6x + -42

Reorder the terms:
-10 + 2x = 6x + -42

Reorder the terms:
-10 + 2x = -42 + 6x

Solving
-10 + 2x = -42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-10 + 2x + -6x = -42 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-10 + -4x = -42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -4x = -42 + 0
-10 + -4x = -42

Add '10' to each side of the equation.
-10 + 10 + -4x = -42 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -42 + 10
-4x = -42 + 10

Combine like terms: -42 + 10 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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