6x-10=2x+13

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Solution for 6x-10=2x+13 equation:


Simplifying
6x + -10 = 2x + 13

Reorder the terms:
-10 + 6x = 2x + 13

Reorder the terms:
-10 + 6x = 13 + 2x

Solving
-10 + 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.
-10 + 6x + -2x = 13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-10 + 4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 4x = 13 + 0
-10 + 4x = 13

Add '10' to each side of the equation.
-10 + 10 + 4x = 13 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 13 + 10
4x = 13 + 10

Combine like terms: 13 + 10 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75

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