3(2x+8)=4x-3

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Solution for 3(2x+8)=4x-3 equation:


Simplifying
3(2x + 8) = 4x + -3

Reorder the terms:
3(8 + 2x) = 4x + -3
(8 * 3 + 2x * 3) = 4x + -3
(24 + 6x) = 4x + -3

Reorder the terms:
24 + 6x = -3 + 4x

Solving
24 + 6x = -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.
24 + 6x + -4x = -3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
24 + 2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 2x = -3 + 0
24 + 2x = -3

Add '-24' to each side of the equation.
24 + -24 + 2x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -3 + -24
2x = -3 + -24

Combine like terms: -3 + -24 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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