6x-13=2x+5

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


Simplifying
6x + -13 = 2x + 5

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

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

Solving
-13 + 6x = 5 + 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.
-13 + 6x + -2x = 5 + 2x + -2x

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

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

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

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

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

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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