7x-2=4x+13

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Solution for 7x-2=4x+13 equation:


Simplifying
7x + -2 = 4x + 13

Reorder the terms:
-2 + 7x = 4x + 13

Reorder the terms:
-2 + 7x = 13 + 4x

Solving
-2 + 7x = 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.
-2 + 7x + -4x = 13 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-2 + 3x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 3x = 13 + 0
-2 + 3x = 13

Add '2' to each side of the equation.
-2 + 2 + 3x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 13 + 2
3x = 13 + 2

Combine like terms: 13 + 2 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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