2x+74=7x+14

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Solution for 2x+74=7x+14 equation:


Simplifying
2x + 74 = 7x + 14

Reorder the terms:
74 + 2x = 7x + 14

Reorder the terms:
74 + 2x = 14 + 7x

Solving
74 + 2x = 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.
74 + 2x + -7x = 14 + 7x + -7x

Combine like terms: 2x + -7x = -5x
74 + -5x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
74 + -5x = 14 + 0
74 + -5x = 14

Add '-74' to each side of the equation.
74 + -74 + -5x = 14 + -74

Combine like terms: 74 + -74 = 0
0 + -5x = 14 + -74
-5x = 14 + -74

Combine like terms: 14 + -74 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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