3x-5=21x+7

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Solution for 3x-5=21x+7 equation:


Simplifying
3x + -5 = 21x + 7

Reorder the terms:
-5 + 3x = 21x + 7

Reorder the terms:
-5 + 3x = 7 + 21x

Solving
-5 + 3x = 7 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-5 + 3x + -21x = 7 + 21x + -21x

Combine like terms: 3x + -21x = -18x
-5 + -18x = 7 + 21x + -21x

Combine like terms: 21x + -21x = 0
-5 + -18x = 7 + 0
-5 + -18x = 7

Add '5' to each side of the equation.
-5 + 5 + -18x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -18x = 7 + 5
-18x = 7 + 5

Combine like terms: 7 + 5 = 12
-18x = 12

Divide each side by '-18'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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