5x+21=7x-5

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Solution for 5x+21=7x-5 equation:


Simplifying
5x + 21 = 7x + -5

Reorder the terms:
21 + 5x = 7x + -5

Reorder the terms:
21 + 5x = -5 + 7x

Solving
21 + 5x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
21 + 5x + -7x = -5 + 7x + -7x

Combine like terms: 5x + -7x = -2x
21 + -2x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
21 + -2x = -5 + 0
21 + -2x = -5

Add '-21' to each side of the equation.
21 + -21 + -2x = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -5 + -21
-2x = -5 + -21

Combine like terms: -5 + -21 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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