X*6+178=X*16+12

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Solution for X*6+178=X*16+12 equation:


Simplifying
X * 6 + 178 = X * 16 + 12

Reorder the terms for easier multiplication:
6X + 178 = X * 16 + 12

Reorder the terms:
178 + 6X = X * 16 + 12

Reorder the terms for easier multiplication:
178 + 6X = 16X + 12

Reorder the terms:
178 + 6X = 12 + 16X

Solving
178 + 6X = 12 + 16X

Solving for variable 'X'.

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

Add '-16X' to each side of the equation.
178 + 6X + -16X = 12 + 16X + -16X

Combine like terms: 6X + -16X = -10X
178 + -10X = 12 + 16X + -16X

Combine like terms: 16X + -16X = 0
178 + -10X = 12 + 0
178 + -10X = 12

Add '-178' to each side of the equation.
178 + -178 + -10X = 12 + -178

Combine like terms: 178 + -178 = 0
0 + -10X = 12 + -178
-10X = 12 + -178

Combine like terms: 12 + -178 = -166
-10X = -166

Divide each side by '-10'.
X = 16.6

Simplifying
X = 16.6

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