3x-5+7x=4x+13

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Solution for 3x-5+7x=4x+13 equation:


Simplifying
3x + -5 + 7x = 4x + 13

Reorder the terms:
-5 + 3x + 7x = 4x + 13

Combine like terms: 3x + 7x = 10x
-5 + 10x = 4x + 13

Reorder the terms:
-5 + 10x = 13 + 4x

Solving
-5 + 10x = 13 + 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.
-5 + 10x + -4x = 13 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-5 + 6x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 6x = 13 + 0
-5 + 6x = 13

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

Combine like terms: -5 + 5 = 0
0 + 6x = 13 + 5
6x = 13 + 5

Combine like terms: 13 + 5 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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