7(3x+1)=24x-1

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Solution for 7(3x+1)=24x-1 equation:


Simplifying
7(3x + 1) = 24x + -1

Reorder the terms:
7(1 + 3x) = 24x + -1
(1 * 7 + 3x * 7) = 24x + -1
(7 + 21x) = 24x + -1

Reorder the terms:
7 + 21x = -1 + 24x

Solving
7 + 21x = -1 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
7 + 21x + -24x = -1 + 24x + -24x

Combine like terms: 21x + -24x = -3x
7 + -3x = -1 + 24x + -24x

Combine like terms: 24x + -24x = 0
7 + -3x = -1 + 0
7 + -3x = -1

Add '-7' to each side of the equation.
7 + -7 + -3x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -1 + -7
-3x = -1 + -7

Combine like terms: -1 + -7 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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