6x-13=4x+2

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Solution for 6x-13=4x+2 equation:


Simplifying
6x + -13 = 4x + 2

Reorder the terms:
-13 + 6x = 4x + 2

Reorder the terms:
-13 + 6x = 2 + 4x

Solving
-13 + 6x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + 6x + -4x = 2 + 4x + -4x

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

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

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

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

Combine like terms: 2 + 13 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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