8(3x+1)=4(x+3)-9

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Solution for 8(3x+1)=4(x+3)-9 equation:


Simplifying
8(3x + 1) = 4(x + 3) + -9

Reorder the terms:
8(1 + 3x) = 4(x + 3) + -9
(1 * 8 + 3x * 8) = 4(x + 3) + -9
(8 + 24x) = 4(x + 3) + -9

Reorder the terms:
8 + 24x = 4(3 + x) + -9
8 + 24x = (3 * 4 + x * 4) + -9
8 + 24x = (12 + 4x) + -9

Reorder the terms:
8 + 24x = 12 + -9 + 4x

Combine like terms: 12 + -9 = 3
8 + 24x = 3 + 4x

Solving
8 + 24x = 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.
8 + 24x + -4x = 3 + 4x + -4x

Combine like terms: 24x + -4x = 20x
8 + 20x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 20x = 3 + 0
8 + 20x = 3

Add '-8' to each side of the equation.
8 + -8 + 20x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 20x = 3 + -8
20x = 3 + -8

Combine like terms: 3 + -8 = -5
20x = -5

Divide each side by '20'.
x = -0.25

Simplifying
x = -0.25

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