8(x+6)=3(x+30)+9

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Solution for 8(x+6)=3(x+30)+9 equation:


Simplifying
8(x + 6) = 3(x + 30) + 9

Reorder the terms:
8(6 + x) = 3(x + 30) + 9
(6 * 8 + x * 8) = 3(x + 30) + 9
(48 + 8x) = 3(x + 30) + 9

Reorder the terms:
48 + 8x = 3(30 + x) + 9
48 + 8x = (30 * 3 + x * 3) + 9
48 + 8x = (90 + 3x) + 9

Reorder the terms:
48 + 8x = 90 + 9 + 3x

Combine like terms: 90 + 9 = 99
48 + 8x = 99 + 3x

Solving
48 + 8x = 99 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
48 + 8x + -3x = 99 + 3x + -3x

Combine like terms: 8x + -3x = 5x
48 + 5x = 99 + 3x + -3x

Combine like terms: 3x + -3x = 0
48 + 5x = 99 + 0
48 + 5x = 99

Add '-48' to each side of the equation.
48 + -48 + 5x = 99 + -48

Combine like terms: 48 + -48 = 0
0 + 5x = 99 + -48
5x = 99 + -48

Combine like terms: 99 + -48 = 51
5x = 51

Divide each side by '5'.
x = 10.2

Simplifying
x = 10.2

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