7(14-X)-5X=-16+2(X-27)

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Solution for 7(14-X)-5X=-16+2(X-27) equation: 


Simplifying
7(14 + -1X) + -5X = -16 + 2(X + -27)
(14 * 7 + -1X * 7) + -5X = -16 + 2(X + -27)
(98 + -7X) + -5X = -16 + 2(X + -27)

Combine like terms: -7X + -5X = -12X
98 + -12X = -16 + 2(X + -27)

Reorder the terms:
98 + -12X = -16 + 2(-27 + X)
98 + -12X = -16 + (-27 * 2 + X * 2)
98 + -12X = -16 + (-54 + 2X)

Combine like terms: -16 + -54 = -70
98 + -12X = -70 + 2X

Solving
98 + -12X = -70 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
98 + -12X + -2X = -70 + 2X + -2X

Combine like terms: -12X + -2X = -14X
98 + -14X = -70 + 2X + -2X

Combine like terms: 2X + -2X = 0
98 + -14X = -70 + 0
98 + -14X = -70

Add '-98' to each side of the equation.
98 + -98 + -14X = -70 + -98

Combine like terms: 98 + -98 = 0
0 + -14X = -70 + -98
-14X = -70 + -98

Combine like terms: -70 + -98 = -168
-14X = -168

Divide each side by '-14'.
X = 12

Simplifying
X = 12

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