6(4x+5)=(x+8)+3

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Solution for 6(4x+5)=(x+8)+3 equation:


Simplifying
6(4x + 5) = (x + 8) + 3

Reorder the terms:
6(5 + 4x) = (x + 8) + 3
(5 * 6 + 4x * 6) = (x + 8) + 3
(30 + 24x) = (x + 8) + 3

Reorder the terms:
30 + 24x = (8 + x) + 3

Remove parenthesis around (8 + x)
30 + 24x = 8 + x + 3

Reorder the terms:
30 + 24x = 8 + 3 + x

Combine like terms: 8 + 3 = 11
30 + 24x = 11 + x

Solving
30 + 24x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
30 + 24x + -1x = 11 + x + -1x

Combine like terms: 24x + -1x = 23x
30 + 23x = 11 + x + -1x

Combine like terms: x + -1x = 0
30 + 23x = 11 + 0
30 + 23x = 11

Add '-30' to each side of the equation.
30 + -30 + 23x = 11 + -30

Combine like terms: 30 + -30 = 0
0 + 23x = 11 + -30
23x = 11 + -30

Combine like terms: 11 + -30 = -19
23x = -19

Divide each side by '23'.
x = -0.8260869565

Simplifying
x = -0.8260869565

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