9(3x+4)=8(x-6)+18

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Solution for 9(3x+4)=8(x-6)+18 equation:


Simplifying
9(3x + 4) = 8(x + -6) + 18

Reorder the terms:
9(4 + 3x) = 8(x + -6) + 18
(4 * 9 + 3x * 9) = 8(x + -6) + 18
(36 + 27x) = 8(x + -6) + 18

Reorder the terms:
36 + 27x = 8(-6 + x) + 18
36 + 27x = (-6 * 8 + x * 8) + 18
36 + 27x = (-48 + 8x) + 18

Reorder the terms:
36 + 27x = -48 + 18 + 8x

Combine like terms: -48 + 18 = -30
36 + 27x = -30 + 8x

Solving
36 + 27x = -30 + 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.
36 + 27x + -8x = -30 + 8x + -8x

Combine like terms: 27x + -8x = 19x
36 + 19x = -30 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + 19x = -30 + 0
36 + 19x = -30

Add '-36' to each side of the equation.
36 + -36 + 19x = -30 + -36

Combine like terms: 36 + -36 = 0
0 + 19x = -30 + -36
19x = -30 + -36

Combine like terms: -30 + -36 = -66
19x = -66

Divide each side by '19'.
x = -3.473684211

Simplifying
x = -3.473684211

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