x+6x-1=3x+9

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Solution for x+6x-1=3x+9 equation:


Simplifying
x + 6x + -1 = 3x + 9

Reorder the terms:
-1 + x + 6x = 3x + 9

Combine like terms: x + 6x = 7x
-1 + 7x = 3x + 9

Reorder the terms:
-1 + 7x = 9 + 3x

Solving
-1 + 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.
-1 + 7x + -3x = 9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-1 + 4x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 4x = 9 + 0
-1 + 4x = 9

Add '1' to each side of the equation.
-1 + 1 + 4x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 9 + 1
4x = 9 + 1

Combine like terms: 9 + 1 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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