8x-13=3x+5

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


Simplifying
8x + -13 = 3x + 5

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

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

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

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

Combine like terms: 3x + -3x = 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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