7x-13=4x+9

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Solution for 7x-13=4x+9 equation:


Simplifying
7x + -13 = 4x + 9

Reorder the terms:
-13 + 7x = 4x + 9

Reorder the terms:
-13 + 7x = 9 + 4x

Solving
-13 + 7x = 9 + 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 + 7x + -4x = 9 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-13 + 3x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + 3x = 9 + 0
-13 + 3x = 9

Add '13' to each side of the equation.
-13 + 13 + 3x = 9 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 9 + 13
3x = 9 + 13

Combine like terms: 9 + 13 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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