2(-2x+7)=5x-9

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Solution for 2(-2x+7)=5x-9 equation:


Simplifying
2(-2x + 7) = 5x + -9

Reorder the terms:
2(7 + -2x) = 5x + -9
(7 * 2 + -2x * 2) = 5x + -9
(14 + -4x) = 5x + -9

Reorder the terms:
14 + -4x = -9 + 5x

Solving
14 + -4x = -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.
14 + -4x + -5x = -9 + 5x + -5x

Combine like terms: -4x + -5x = -9x
14 + -9x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -9x = -9 + 0
14 + -9x = -9

Add '-14' to each side of the equation.
14 + -14 + -9x = -9 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -9 + -14
-9x = -9 + -14

Combine like terms: -9 + -14 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556

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