-4(4x-6)+3=8x-21

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Solution for -4(4x-6)+3=8x-21 equation:


Simplifying
-4(4x + -6) + 3 = 8x + -21

Reorder the terms:
-4(-6 + 4x) + 3 = 8x + -21
(-6 * -4 + 4x * -4) + 3 = 8x + -21
(24 + -16x) + 3 = 8x + -21

Reorder the terms:
24 + 3 + -16x = 8x + -21

Combine like terms: 24 + 3 = 27
27 + -16x = 8x + -21

Reorder the terms:
27 + -16x = -21 + 8x

Solving
27 + -16x = -21 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
27 + -16x + -8x = -21 + 8x + -8x

Combine like terms: -16x + -8x = -24x
27 + -24x = -21 + 8x + -8x

Combine like terms: 8x + -8x = 0
27 + -24x = -21 + 0
27 + -24x = -21

Add '-27' to each side of the equation.
27 + -27 + -24x = -21 + -27

Combine like terms: 27 + -27 = 0
0 + -24x = -21 + -27
-24x = -21 + -27

Combine like terms: -21 + -27 = -48
-24x = -48

Divide each side by '-24'.
x = 2

Simplifying
x = 2

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