x+9=3x-7

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


Simplifying
x + 9 = 3x + -7

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

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

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

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

Combine like terms: 3x + -3x = 0
9 + -2x = -7 + 0
9 + -2x = -7

Add '-9' to each side of the equation.
9 + -9 + -2x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -7 + -9
-2x = -7 + -9

Combine like terms: -7 + -9 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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