8(x+6)=9(x+3)

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


Simplifying
8(x + 6) = 9(x + 3)

Reorder the terms:
8(6 + x) = 9(x + 3)
(6 * 8 + x * 8) = 9(x + 3)
(48 + 8x) = 9(x + 3)

Reorder the terms:
48 + 8x = 9(3 + x)
48 + 8x = (3 * 9 + x * 9)
48 + 8x = (27 + 9x)

Solving
48 + 8x = 27 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
48 + 8x + -9x = 27 + 9x + -9x

Combine like terms: 8x + -9x = -1x
48 + -1x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
48 + -1x = 27 + 0
48 + -1x = 27

Add '-48' to each side of the equation.
48 + -48 + -1x = 27 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 27 + -48
-1x = 27 + -48

Combine like terms: 27 + -48 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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