2-3(4x-1)=4x+21

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Solution for 2-3(4x-1)=4x+21 equation:


Simplifying
2 + -3(4x + -1) = 4x + 21

Reorder the terms:
2 + -3(-1 + 4x) = 4x + 21
2 + (-1 * -3 + 4x * -3) = 4x + 21
2 + (3 + -12x) = 4x + 21

Combine like terms: 2 + 3 = 5
5 + -12x = 4x + 21

Reorder the terms:
5 + -12x = 21 + 4x

Solving
5 + -12x = 21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -12x + -4x = 21 + 4x + -4x

Combine like terms: -12x + -4x = -16x
5 + -16x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -16x = 21 + 0
5 + -16x = 21

Add '-5' to each side of the equation.
5 + -5 + -16x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -16x = 21 + -5
-16x = 21 + -5

Combine like terms: 21 + -5 = 16
-16x = 16

Divide each side by '-16'.
x = -1

Simplifying
x = -1

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