5x+21=12x-25

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Solution for 5x+21=12x-25 equation:


Simplifying
5x + 21 = 12x + -25

Reorder the terms:
21 + 5x = 12x + -25

Reorder the terms:
21 + 5x = -25 + 12x

Solving
21 + 5x = -25 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
21 + 5x + -12x = -25 + 12x + -12x

Combine like terms: 5x + -12x = -7x
21 + -7x = -25 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -7x = -25 + 0
21 + -7x = -25

Add '-21' to each side of the equation.
21 + -21 + -7x = -25 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -25 + -21
-7x = -25 + -21

Combine like terms: -25 + -21 = -46
-7x = -46

Divide each side by '-7'.
x = 6.571428571

Simplifying
x = 6.571428571

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