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

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


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

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

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

Solving
-48 + 8x = 9 + 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 = 9 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-48 + 5x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-48 + 5x = 9 + 0
-48 + 5x = 9

Add '48' to each side of the equation.
-48 + 48 + 5x = 9 + 48

Combine like terms: -48 + 48 = 0
0 + 5x = 9 + 48
5x = 9 + 48

Combine like terms: 9 + 48 = 57
5x = 57

Divide each side by '5'.
x = 11.4

Simplifying
x = 11.4

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