7(2-2x-7x)+9(4x+9)=14

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Solution for 7(2-2x-7x)+9(4x+9)=14 equation:


Simplifying
7(2 + -2x + -7x) + 9(4x + 9) = 14

Combine like terms: -2x + -7x = -9x
7(2 + -9x) + 9(4x + 9) = 14
(2 * 7 + -9x * 7) + 9(4x + 9) = 14
(14 + -63x) + 9(4x + 9) = 14

Reorder the terms:
14 + -63x + 9(9 + 4x) = 14
14 + -63x + (9 * 9 + 4x * 9) = 14
14 + -63x + (81 + 36x) = 14

Reorder the terms:
14 + 81 + -63x + 36x = 14

Combine like terms: 14 + 81 = 95
95 + -63x + 36x = 14

Combine like terms: -63x + 36x = -27x
95 + -27x = 14

Solving
95 + -27x = 14

Solving for variable 'x'.

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

Add '-95' to each side of the equation.
95 + -95 + -27x = 14 + -95

Combine like terms: 95 + -95 = 0
0 + -27x = 14 + -95
-27x = 14 + -95

Combine like terms: 14 + -95 = -81
-27x = -81

Divide each side by '-27'.
x = 3

Simplifying
x = 3

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