7x-42=3x+9

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Solution for 7x-42=3x+9 equation:


Simplifying
7x + -42 = 3x + 9

Reorder the terms:
-42 + 7x = 3x + 9

Reorder the terms:
-42 + 7x = 9 + 3x

Solving
-42 + 7x = 9 + 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.
-42 + 7x + -3x = 9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-42 + 4x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-42 + 4x = 9 + 0
-42 + 4x = 9

Add '42' to each side of the equation.
-42 + 42 + 4x = 9 + 42

Combine like terms: -42 + 42 = 0
0 + 4x = 9 + 42
4x = 9 + 42

Combine like terms: 9 + 42 = 51
4x = 51

Divide each side by '4'.
x = 12.75

Simplifying
x = 12.75

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