3(x+8)=3(4x-1)

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Solution for 3(x+8)=3(4x-1) equation:


Simplifying
3(x + 8) = 3(4x + -1)

Reorder the terms:
3(8 + x) = 3(4x + -1)
(8 * 3 + x * 3) = 3(4x + -1)
(24 + 3x) = 3(4x + -1)

Reorder the terms:
24 + 3x = 3(-1 + 4x)
24 + 3x = (-1 * 3 + 4x * 3)
24 + 3x = (-3 + 12x)

Solving
24 + 3x = -3 + 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.
24 + 3x + -12x = -3 + 12x + -12x

Combine like terms: 3x + -12x = -9x
24 + -9x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -9x = -3 + 0
24 + -9x = -3

Add '-24' to each side of the equation.
24 + -24 + -9x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = -3 + -24
-9x = -3 + -24

Combine like terms: -3 + -24 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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