4x+21=12x-43

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Solution for 4x+21=12x-43 equation:


Simplifying
4x + 21 = 12x + -43

Reorder the terms:
21 + 4x = 12x + -43

Reorder the terms:
21 + 4x = -43 + 12x

Solving
21 + 4x = -43 + 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 + 4x + -12x = -43 + 12x + -12x

Combine like terms: 4x + -12x = -8x
21 + -8x = -43 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -8x = -43 + 0
21 + -8x = -43

Add '-21' to each side of the equation.
21 + -21 + -8x = -43 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = -43 + -21
-8x = -43 + -21

Combine like terms: -43 + -21 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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