3x+9-2x+7=3x+6-5x+7

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Solution for 3x+9-2x+7=3x+6-5x+7 equation:


Simplifying
3x + 9 + -2x + 7 = 3x + 6 + -5x + 7

Reorder the terms:
9 + 7 + 3x + -2x = 3x + 6 + -5x + 7

Combine like terms: 9 + 7 = 16
16 + 3x + -2x = 3x + 6 + -5x + 7

Combine like terms: 3x + -2x = 1x
16 + 1x = 3x + 6 + -5x + 7

Reorder the terms:
16 + 1x = 6 + 7 + 3x + -5x

Combine like terms: 6 + 7 = 13
16 + 1x = 13 + 3x + -5x

Combine like terms: 3x + -5x = -2x
16 + 1x = 13 + -2x

Solving
16 + 1x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
16 + 1x + 2x = 13 + -2x + 2x

Combine like terms: 1x + 2x = 3x
16 + 3x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + 3x = 13 + 0
16 + 3x = 13

Add '-16' to each side of the equation.
16 + -16 + 3x = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 13 + -16
3x = 13 + -16

Combine like terms: 13 + -16 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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