14-2(3x-1)-5(6-5x)=216

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Solution for 14-2(3x-1)-5(6-5x)=216 equation:


Simplifying
14 + -2(3x + -1) + -5(6 + -5x) = 216

Reorder the terms:
14 + -2(-1 + 3x) + -5(6 + -5x) = 216
14 + (-1 * -2 + 3x * -2) + -5(6 + -5x) = 216
14 + (2 + -6x) + -5(6 + -5x) = 216
14 + 2 + -6x + (6 * -5 + -5x * -5) = 216
14 + 2 + -6x + (-30 + 25x) = 216

Reorder the terms:
14 + 2 + -30 + -6x + 25x = 216

Combine like terms: 14 + 2 = 16
16 + -30 + -6x + 25x = 216

Combine like terms: 16 + -30 = -14
-14 + -6x + 25x = 216

Combine like terms: -6x + 25x = 19x
-14 + 19x = 216

Solving
-14 + 19x = 216

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 19x = 216 + 14

Combine like terms: -14 + 14 = 0
0 + 19x = 216 + 14
19x = 216 + 14

Combine like terms: 216 + 14 = 230
19x = 230

Divide each side by '19'.
x = 12.10526316

Simplifying
x = 12.10526316

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