2x-6(x-1)=2x-3

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Solution for 2x-6(x-1)=2x-3 equation:


Simplifying
2x + -6(x + -1) = 2x + -3

Reorder the terms:
2x + -6(-1 + x) = 2x + -3
2x + (-1 * -6 + x * -6) = 2x + -3
2x + (6 + -6x) = 2x + -3

Reorder the terms:
6 + 2x + -6x = 2x + -3

Combine like terms: 2x + -6x = -4x
6 + -4x = 2x + -3

Reorder the terms:
6 + -4x = -3 + 2x

Solving
6 + -4x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -4x + -2x = -3 + 2x + -2x

Combine like terms: -4x + -2x = -6x
6 + -6x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -6x = -3 + 0
6 + -6x = -3

Add '-6' to each side of the equation.
6 + -6 + -6x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -3 + -6
-6x = -3 + -6

Combine like terms: -3 + -6 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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