6(3-x)=7-3x

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Solution for 6(3-x)=7-3x equation:


Simplifying
6(3 + -1x) = 7 + -3x
(3 * 6 + -1x * 6) = 7 + -3x
(18 + -6x) = 7 + -3x

Solving
18 + -6x = 7 + -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.
18 + -6x + 3x = 7 + -3x + 3x

Combine like terms: -6x + 3x = -3x
18 + -3x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + -3x = 7 + 0
18 + -3x = 7

Add '-18' to each side of the equation.
18 + -18 + -3x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 7 + -18
-3x = 7 + -18

Combine like terms: 7 + -18 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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