3x-13=8x+5

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Solution for 3x-13=8x+5 equation:


Simplifying
3x + -13 = 8x + 5

Reorder the terms:
-13 + 3x = 8x + 5

Reorder the terms:
-13 + 3x = 5 + 8x

Solving
-13 + 3x = 5 + 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 = 5 + 8x + -8x

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

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

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

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

Combine like terms: 5 + 13 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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