3x-13=8x+6

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Solution for 3x-13=8x+6 equation:


Simplifying
3x + -13 = 8x + 6

Reorder the terms:
-13 + 3x = 8x + 6

Reorder the terms:
-13 + 3x = 6 + 8x

Solving
-13 + 3x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-13 + 3x + -8x = 6 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-13 + -5x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-13 + -5x = 6 + 0
-13 + -5x = 6

Add '13' to each side of the equation.
-13 + 13 + -5x = 6 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 6 + 13
-5x = 6 + 13

Combine like terms: 6 + 13 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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