9x+7=3(x-2)

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Solution for 9x+7=3(x-2) equation:


Simplifying
9x + 7 = 3(x + -2)

Reorder the terms:
7 + 9x = 3(x + -2)

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

Solving
7 + 9x = -6 + 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.
7 + 9x + -3x = -6 + 3x + -3x

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

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

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

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

Combine like terms: -6 + -7 = -13
6x = -13

Divide each side by '6'.
x = -2.166666667

Simplifying
x = -2.166666667

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