2(x-5)=6x-2

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Solution for 2(x-5)=6x-2 equation:


Simplifying
2(x + -5) = 6x + -2

Reorder the terms:
2(-5 + x) = 6x + -2
(-5 * 2 + x * 2) = 6x + -2
(-10 + 2x) = 6x + -2

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

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

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

Combine like terms: 6x + -6x = 0
-10 + -4x = -2 + 0
-10 + -4x = -2

Add '10' to each side of the equation.
-10 + 10 + -4x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -2 + 10
-4x = -2 + 10

Combine like terms: -2 + 10 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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