6x-5=2x+13

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Solution for 6x-5=2x+13 equation:


Simplifying
6x + -5 = 2x + 13

Reorder the terms:
-5 + 6x = 2x + 13

Reorder the terms:
-5 + 6x = 13 + 2x

Solving
-5 + 6x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 6x + -2x = 13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-5 + 4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 4x = 13 + 0
-5 + 4x = 13

Add '5' to each side of the equation.
-5 + 5 + 4x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 13 + 5
4x = 13 + 5

Combine like terms: 13 + 5 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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