2x-1=-6x+2

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Solution for 2x-1=-6x+2 equation:


Simplifying
2x + -1 = -6x + 2

Reorder the terms:
-1 + 2x = -6x + 2

Reorder the terms:
-1 + 2x = 2 + -6x

Solving
-1 + 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.
-1 + 2x + 6x = 2 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-1 + 8x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-1 + 8x = 2 + 0
-1 + 8x = 2

Add '1' to each side of the equation.
-1 + 1 + 8x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 2 + 1
8x = 2 + 1

Combine like terms: 2 + 1 = 3
8x = 3

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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