3x-5=4x+13-6x

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Solution for 3x-5=4x+13-6x equation:


Simplifying
3x + -5 = 4x + 13 + -6x

Reorder the terms:
-5 + 3x = 4x + 13 + -6x

Reorder the terms:
-5 + 3x = 13 + 4x + -6x

Combine like terms: 4x + -6x = -2x
-5 + 3x = 13 + -2x

Solving
-5 + 3x = 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 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-5 + 5x = 13 + -2x + 2x

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

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

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

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

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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