6(x-3)=7-(3x-2)

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Solution for 6(x-3)=7-(3x-2) equation:


Simplifying
6(x + -3) = 7 + -1(3x + -2)

Reorder the terms:
6(-3 + x) = 7 + -1(3x + -2)
(-3 * 6 + x * 6) = 7 + -1(3x + -2)
(-18 + 6x) = 7 + -1(3x + -2)

Reorder the terms:
-18 + 6x = 7 + -1(-2 + 3x)
-18 + 6x = 7 + (-2 * -1 + 3x * -1)
-18 + 6x = 7 + (2 + -3x)

Combine like terms: 7 + 2 = 9
-18 + 6x = 9 + -3x

Solving
-18 + 6x = 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.
-18 + 6x + 3x = 9 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-18 + 9x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 9x = 9 + 0
-18 + 9x = 9

Add '18' to each side of the equation.
-18 + 18 + 9x = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 9 + 18
9x = 9 + 18

Combine like terms: 9 + 18 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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