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

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


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

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

Reorder the terms:
-9 + 3x + -7x = 3 + -1x

Combine like terms: 3x + -7x = -4x
-9 + -4x = 3 + -1x

Solving
-9 + -4x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + -4x + x = 3 + -1x + x

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

Combine like terms: -1x + x = 0
-9 + -3x = 3 + 0
-9 + -3x = 3

Add '9' to each side of the equation.
-9 + 9 + -3x = 3 + 9

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

Combine like terms: 3 + 9 = 12
-3x = 12

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

Simplifying
x = -4

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