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

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


Simplifying
7 + -1(x + 9) = 3x + -6

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

Combine like terms: 7 + -9 = -2
-2 + -1x = 3x + -6

Reorder the terms:
-2 + -1x = -6 + 3x

Solving
-2 + -1x = -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.
-2 + -1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-2 + -4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -4x = -6 + 0
-2 + -4x = -6

Add '2' to each side of the equation.
-2 + 2 + -4x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -6 + 2
-4x = -6 + 2

Combine like terms: -6 + 2 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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