-2(x-2)=5x-9

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Solution for -2(x-2)=5x-9 equation:


Simplifying
-2(x + -2) = 5x + -9

Reorder the terms:
-2(-2 + x) = 5x + -9
(-2 * -2 + x * -2) = 5x + -9
(4 + -2x) = 5x + -9

Reorder the terms:
4 + -2x = -9 + 5x

Solving
4 + -2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -2x + -5x = -9 + 5x + -5x

Combine like terms: -2x + -5x = -7x
4 + -7x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -7x = -9 + 0
4 + -7x = -9

Add '-4' to each side of the equation.
4 + -4 + -7x = -9 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -9 + -4
-7x = -9 + -4

Combine like terms: -9 + -4 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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