4(3x+4)=2(4x+24)-9

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Solution for 4(3x+4)=2(4x+24)-9 equation:


Simplifying
4(3x + 4) = 2(4x + 24) + -9

Reorder the terms:
4(4 + 3x) = 2(4x + 24) + -9
(4 * 4 + 3x * 4) = 2(4x + 24) + -9
(16 + 12x) = 2(4x + 24) + -9

Reorder the terms:
16 + 12x = 2(24 + 4x) + -9
16 + 12x = (24 * 2 + 4x * 2) + -9
16 + 12x = (48 + 8x) + -9

Reorder the terms:
16 + 12x = 48 + -9 + 8x

Combine like terms: 48 + -9 = 39
16 + 12x = 39 + 8x

Solving
16 + 12x = 39 + 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.
16 + 12x + -8x = 39 + 8x + -8x

Combine like terms: 12x + -8x = 4x
16 + 4x = 39 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + 4x = 39 + 0
16 + 4x = 39

Add '-16' to each side of the equation.
16 + -16 + 4x = 39 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 39 + -16
4x = 39 + -16

Combine like terms: 39 + -16 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75

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