4x+3=21x-7

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Solution for 4x+3=21x-7 equation:


Simplifying
4x + 3 = 21x + -7

Reorder the terms:
3 + 4x = 21x + -7

Reorder the terms:
3 + 4x = -7 + 21x

Solving
3 + 4x = -7 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
3 + 4x + -21x = -7 + 21x + -21x

Combine like terms: 4x + -21x = -17x
3 + -17x = -7 + 21x + -21x

Combine like terms: 21x + -21x = 0
3 + -17x = -7 + 0
3 + -17x = -7

Add '-3' to each side of the equation.
3 + -3 + -17x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -17x = -7 + -3
-17x = -7 + -3

Combine like terms: -7 + -3 = -10
-17x = -10

Divide each side by '-17'.
x = 0.5882352941

Simplifying
x = 0.5882352941

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