3x-7=3(3x+1)

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Solution for 3x-7=3(3x+1) equation:


Simplifying
3x + -7 = 3(3x + 1)

Reorder the terms:
-7 + 3x = 3(3x + 1)

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

Solving
-7 + 3x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 3x + -9x = 3 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-7 + -6x = 3 + 0
-7 + -6x = 3

Add '7' to each side of the equation.
-7 + 7 + -6x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 3 + 7
-6x = 3 + 7

Combine like terms: 3 + 7 = 10
-6x = 10

Divide each side by '-6'.
x = -1.666666667

Simplifying
x = -1.666666667

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