6(x-8)=3(x-5)

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Solution for 6(x-8)=3(x-5) equation: 


Simplifying
6(x + -8) = 3(x + -5)

Reorder the terms:
6(-8 + x) = 3(x + -5)
(-8 * 6 + x * 6) = 3(x + -5)
(-48 + 6x) = 3(x + -5)

Reorder the terms:
-48 + 6x = 3(-5 + x)
-48 + 6x = (-5 * 3 + x * 3)
-48 + 6x = (-15 + 3x)

Solving
-48 + 6x = -15 + 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 + 6x + -3x = -15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-48 + 3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-48 + 3x = -15 + 0
-48 + 3x = -15

Add '48' to each side of the equation.
-48 + 48 + 3x = -15 + 48

Combine like terms: -48 + 48 = 0
0 + 3x = -15 + 48
3x = -15 + 48

Combine like terms: -15 + 48 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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