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

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


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

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

Remove parenthesis around (-3 + 4x)
-3 + 4x + 3(4x + 8) = 4x + -3

Reorder the terms:
-3 + 4x + 3(8 + 4x) = 4x + -3
-3 + 4x + (8 * 3 + 4x * 3) = 4x + -3
-3 + 4x + (24 + 12x) = 4x + -3

Reorder the terms:
-3 + 24 + 4x + 12x = 4x + -3

Combine like terms: -3 + 24 = 21
21 + 4x + 12x = 4x + -3

Combine like terms: 4x + 12x = 16x
21 + 16x = 4x + -3

Reorder the terms:
21 + 16x = -3 + 4x

Solving
21 + 16x = -3 + 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.
21 + 16x + -4x = -3 + 4x + -4x

Combine like terms: 16x + -4x = 12x
21 + 12x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 12x = -3 + 0
21 + 12x = -3

Add '-21' to each side of the equation.
21 + -21 + 12x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + 12x = -3 + -21
12x = -3 + -21

Combine like terms: -3 + -21 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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