7-(x+5)=3x-9

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Solution for 7-(x+5)=3x-9 equation:


Simplifying
7 + -1(x + 5) = 3x + -9

Reorder the terms:
7 + -1(5 + x) = 3x + -9
7 + (5 * -1 + x * -1) = 3x + -9
7 + (-5 + -1x) = 3x + -9

Combine like terms: 7 + -5 = 2
2 + -1x = 3x + -9

Reorder the terms:
2 + -1x = -9 + 3x

Solving
2 + -1x = -9 + 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 = -9 + 3x + -3x

Combine like terms: -1x + -3x = -4x
2 + -4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -4x = -9 + 0
2 + -4x = -9

Add '-2' to each side of the equation.
2 + -2 + -4x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -9 + -2
-4x = -9 + -2

Combine like terms: -9 + -2 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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