2-4(x-3)=2x-3

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Solution for 2-4(x-3)=2x-3 equation:


Simplifying
2 + -4(x + -3) = 2x + -3

Reorder the terms:
2 + -4(-3 + x) = 2x + -3
2 + (-3 * -4 + x * -4) = 2x + -3
2 + (12 + -4x) = 2x + -3

Combine like terms: 2 + 12 = 14
14 + -4x = 2x + -3

Reorder the terms:
14 + -4x = -3 + 2x

Solving
14 + -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.
14 + -4x + -2x = -3 + 2x + -2x

Combine like terms: -4x + -2x = -6x
14 + -6x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -6x = -3 + 0
14 + -6x = -3

Add '-14' to each side of the equation.
14 + -14 + -6x = -3 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -3 + -14
-6x = -3 + -14

Combine like terms: -3 + -14 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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