6(x-3)=48-5x

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Solution for 6(x-3)=48-5x equation:


Simplifying
6(x + -3) = 48 + -5x

Reorder the terms:
6(-3 + x) = 48 + -5x
(-3 * 6 + x * 6) = 48 + -5x
(-18 + 6x) = 48 + -5x

Solving
-18 + 6x = 48 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-18 + 6x + 5x = 48 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-18 + 11x = 48 + -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 11x = 48 + 0
-18 + 11x = 48

Add '18' to each side of the equation.
-18 + 18 + 11x = 48 + 18

Combine like terms: -18 + 18 = 0
0 + 11x = 48 + 18
11x = 48 + 18

Combine like terms: 48 + 18 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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