6x+3(6-x)=5.75(6)

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Solution for 6x+3(6-x)=5.75(6) equation:


Simplifying
6x + 3(6 + -1x) = 5.75(6)
6x + (6 * 3 + -1x * 3) = 5.75(6)
6x + (18 + -3x) = 5.75(6)

Reorder the terms:
18 + 6x + -3x = 5.75(6)

Combine like terms: 6x + -3x = 3x
18 + 3x = 5.75(6)

Multiply 5.75 * 6
18 + 3x = 34.5

Solving
18 + 3x = 34.5

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 3x = 34.5 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 34.5 + -18
3x = 34.5 + -18

Combine like terms: 34.5 + -18 = 16.5
3x = 16.5

Divide each side by '3'.
x = 5.5

Simplifying
x = 5.5

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