2-(4x-7)=2x-9

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Solution for 2-(4x-7)=2x-9 equation:


Simplifying
2 + -1(4x + -7) = 2x + -9

Reorder the terms:
2 + -1(-7 + 4x) = 2x + -9
2 + (-7 * -1 + 4x * -1) = 2x + -9
2 + (7 + -4x) = 2x + -9

Combine like terms: 2 + 7 = 9
9 + -4x = 2x + -9

Reorder the terms:
9 + -4x = -9 + 2x

Solving
9 + -4x = -9 + 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.
9 + -4x + -2x = -9 + 2x + -2x

Combine like terms: -4x + -2x = -6x
9 + -6x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -6x = -9 + 0
9 + -6x = -9

Add '-9' to each side of the equation.
9 + -9 + -6x = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -9 + -9
-6x = -9 + -9

Combine like terms: -9 + -9 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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