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

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


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

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

Combine like terms: 4x + 8x = 12x
12 + 12x = 9(4x + 9) + -9x

Reorder the terms:
12 + 12x = 9(9 + 4x) + -9x
12 + 12x = (9 * 9 + 4x * 9) + -9x
12 + 12x = (81 + 36x) + -9x

Combine like terms: 36x + -9x = 27x
12 + 12x = 81 + 27x

Solving
12 + 12x = 81 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
12 + 12x + -27x = 81 + 27x + -27x

Combine like terms: 12x + -27x = -15x
12 + -15x = 81 + 27x + -27x

Combine like terms: 27x + -27x = 0
12 + -15x = 81 + 0
12 + -15x = 81

Add '-12' to each side of the equation.
12 + -12 + -15x = 81 + -12

Combine like terms: 12 + -12 = 0
0 + -15x = 81 + -12
-15x = 81 + -12

Combine like terms: 81 + -12 = 69
-15x = 69

Divide each side by '-15'.
x = -4.6

Simplifying
x = -4.6

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