-2(2X-9)+1=7X-14

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Solution for -2(2X-9)+1=7X-14 equation:


Simplifying
-2(2X + -9) + 1 = 7X + -14

Reorder the terms:
-2(-9 + 2X) + 1 = 7X + -14
(-9 * -2 + 2X * -2) + 1 = 7X + -14
(18 + -4X) + 1 = 7X + -14

Reorder the terms:
18 + 1 + -4X = 7X + -14

Combine like terms: 18 + 1 = 19
19 + -4X = 7X + -14

Reorder the terms:
19 + -4X = -14 + 7X

Solving
19 + -4X = -14 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
19 + -4X + -7X = -14 + 7X + -7X

Combine like terms: -4X + -7X = -11X
19 + -11X = -14 + 7X + -7X

Combine like terms: 7X + -7X = 0
19 + -11X = -14 + 0
19 + -11X = -14

Add '-19' to each side of the equation.
19 + -19 + -11X = -14 + -19

Combine like terms: 19 + -19 = 0
0 + -11X = -14 + -19
-11X = -14 + -19

Combine like terms: -14 + -19 = -33
-11X = -33

Divide each side by '-11'.
X = 3

Simplifying
X = 3

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