3x+7-4x+9=5x+13-8x-1

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Solution for 3x+7-4x+9=5x+13-8x-1 equation:


Simplifying
3x + 7 + -4x + 9 = 5x + 13 + -8x + -1

Reorder the terms:
7 + 9 + 3x + -4x = 5x + 13 + -8x + -1

Combine like terms: 7 + 9 = 16
16 + 3x + -4x = 5x + 13 + -8x + -1

Combine like terms: 3x + -4x = -1x
16 + -1x = 5x + 13 + -8x + -1

Reorder the terms:
16 + -1x = 13 + -1 + 5x + -8x

Combine like terms: 13 + -1 = 12
16 + -1x = 12 + 5x + -8x

Combine like terms: 5x + -8x = -3x
16 + -1x = 12 + -3x

Solving
16 + -1x = 12 + -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.
16 + -1x + 3x = 12 + -3x + 3x

Combine like terms: -1x + 3x = 2x
16 + 2x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 2x = 12 + 0
16 + 2x = 12

Add '-16' to each side of the equation.
16 + -16 + 2x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 12 + -16
2x = 12 + -16

Combine like terms: 12 + -16 = -4
2x = -4

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

Simplifying
x = -2

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