6x-42=-3x+3

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Solution for 6x-42=-3x+3 equation:


Simplifying
6x + -42 = -3x + 3

Reorder the terms:
-42 + 6x = -3x + 3

Reorder the terms:
-42 + 6x = 3 + -3x

Solving
-42 + 6x = 3 + -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 + 6x + 3x = 3 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-42 + 9x = 3 + -3x + 3x

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

Add '42' to each side of the equation.
-42 + 42 + 9x = 3 + 42

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

Combine like terms: 3 + 42 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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