-9(x+3)+2x+6=6x+7

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Solution for -9(x+3)+2x+6=6x+7 equation:


Simplifying
-9(x + 3) + 2x + 6 = 6x + 7

Reorder the terms:
-9(3 + x) + 2x + 6 = 6x + 7
(3 * -9 + x * -9) + 2x + 6 = 6x + 7
(-27 + -9x) + 2x + 6 = 6x + 7

Reorder the terms:
-27 + 6 + -9x + 2x = 6x + 7

Combine like terms: -27 + 6 = -21
-21 + -9x + 2x = 6x + 7

Combine like terms: -9x + 2x = -7x
-21 + -7x = 6x + 7

Reorder the terms:
-21 + -7x = 7 + 6x

Solving
-21 + -7x = 7 + 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.
-21 + -7x + -6x = 7 + 6x + -6x

Combine like terms: -7x + -6x = -13x
-21 + -13x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + -13x = 7 + 0
-21 + -13x = 7

Add '21' to each side of the equation.
-21 + 21 + -13x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + -13x = 7 + 21
-13x = 7 + 21

Combine like terms: 7 + 21 = 28
-13x = 28

Divide each side by '-13'.
x = -2.153846154

Simplifying
x = -2.153846154

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