4x-2(x-1)=6x+1

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Solution for 4x-2(x-1)=6x+1 equation:


Simplifying
4x + -2(x + -1) = 6x + 1

Reorder the terms:
4x + -2(-1 + x) = 6x + 1
4x + (-1 * -2 + x * -2) = 6x + 1
4x + (2 + -2x) = 6x + 1

Reorder the terms:
2 + 4x + -2x = 6x + 1

Combine like terms: 4x + -2x = 2x
2 + 2x = 6x + 1

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

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

Combine like terms: 2x + -6x = -4x
2 + -4x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -4x = 1 + 0
2 + -4x = 1

Add '-2' to each side of the equation.
2 + -2 + -4x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 1 + -2
-4x = 1 + -2

Combine like terms: 1 + -2 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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