9(12x+3)-4=11+4(x-5)

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Solution for 9(12x+3)-4=11+4(x-5) equation:


Simplifying
9(12x + 3) + -4 = 11 + 4(x + -5)

Reorder the terms:
9(3 + 12x) + -4 = 11 + 4(x + -5)
(3 * 9 + 12x * 9) + -4 = 11 + 4(x + -5)
(27 + 108x) + -4 = 11 + 4(x + -5)

Reorder the terms:
27 + -4 + 108x = 11 + 4(x + -5)

Combine like terms: 27 + -4 = 23
23 + 108x = 11 + 4(x + -5)

Reorder the terms:
23 + 108x = 11 + 4(-5 + x)
23 + 108x = 11 + (-5 * 4 + x * 4)
23 + 108x = 11 + (-20 + 4x)

Combine like terms: 11 + -20 = -9
23 + 108x = -9 + 4x

Solving
23 + 108x = -9 + 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.
23 + 108x + -4x = -9 + 4x + -4x

Combine like terms: 108x + -4x = 104x
23 + 104x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 104x = -9 + 0
23 + 104x = -9

Add '-23' to each side of the equation.
23 + -23 + 104x = -9 + -23

Combine like terms: 23 + -23 = 0
0 + 104x = -9 + -23
104x = -9 + -23

Combine like terms: -9 + -23 = -32
104x = -32

Divide each side by '104'.
x = -0.3076923077

Simplifying
x = -0.3076923077

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