3(3x+2)+7=6x+1

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Solution for 3(3x+2)+7=6x+1 equation:


Simplifying
3(3x + 2) + 7 = 6x + 1

Reorder the terms:
3(2 + 3x) + 7 = 6x + 1
(2 * 3 + 3x * 3) + 7 = 6x + 1
(6 + 9x) + 7 = 6x + 1

Reorder the terms:
6 + 7 + 9x = 6x + 1

Combine like terms: 6 + 7 = 13
13 + 9x = 6x + 1

Reorder the terms:
13 + 9x = 1 + 6x

Solving
13 + 9x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + 9x + -6x = 1 + 6x + -6x

Combine like terms: 9x + -6x = 3x
13 + 3x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + 3x = 1 + 0
13 + 3x = 1

Add '-13' to each side of the equation.
13 + -13 + 3x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 1 + -13
3x = 1 + -13

Combine like terms: 1 + -13 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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