5x-3+6x-1=-3x+9+8x-2

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Solution for 5x-3+6x-1=-3x+9+8x-2 equation:


Simplifying
5x + -3 + 6x + -1 = -3x + 9 + 8x + -2

Reorder the terms:
-3 + -1 + 5x + 6x = -3x + 9 + 8x + -2

Combine like terms: -3 + -1 = -4
-4 + 5x + 6x = -3x + 9 + 8x + -2

Combine like terms: 5x + 6x = 11x
-4 + 11x = -3x + 9 + 8x + -2

Reorder the terms:
-4 + 11x = 9 + -2 + -3x + 8x

Combine like terms: 9 + -2 = 7
-4 + 11x = 7 + -3x + 8x

Combine like terms: -3x + 8x = 5x
-4 + 11x = 7 + 5x

Solving
-4 + 11x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 11x + -5x = 7 + 5x + -5x

Combine like terms: 11x + -5x = 6x
-4 + 6x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 6x = 7 + 0
-4 + 6x = 7

Add '4' to each side of the equation.
-4 + 4 + 6x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 7 + 4
6x = 7 + 4

Combine like terms: 7 + 4 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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