3x-51=7x+21

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Solution for 3x-51=7x+21 equation:


Simplifying
3x + -51 = 7x + 21

Reorder the terms:
-51 + 3x = 7x + 21

Reorder the terms:
-51 + 3x = 21 + 7x

Solving
-51 + 3x = 21 + 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.
-51 + 3x + -7x = 21 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-51 + -4x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-51 + -4x = 21 + 0
-51 + -4x = 21

Add '51' to each side of the equation.
-51 + 51 + -4x = 21 + 51

Combine like terms: -51 + 51 = 0
0 + -4x = 21 + 51
-4x = 21 + 51

Combine like terms: 21 + 51 = 72
-4x = 72

Divide each side by '-4'.
x = -18

Simplifying
x = -18

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