7x-14=3x+30

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Solution for 7x-14=3x+30 equation:


Simplifying
7x + -14 = 3x + 30

Reorder the terms:
-14 + 7x = 3x + 30

Reorder the terms:
-14 + 7x = 30 + 3x

Solving
-14 + 7x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 7x + -3x = 30 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-14 + 4x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 4x = 30 + 0
-14 + 4x = 30

Add '14' to each side of the equation.
-14 + 14 + 4x = 30 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 30 + 14
4x = 30 + 14

Combine like terms: 30 + 14 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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