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

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Solution for 3-6(x-3)=7-2(x-1) equation:


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

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

Combine like terms: 3 + 18 = 21
21 + -6x = 7 + -2(x + -1)

Reorder the terms:
21 + -6x = 7 + -2(-1 + x)
21 + -6x = 7 + (-1 * -2 + x * -2)
21 + -6x = 7 + (2 + -2x)

Combine like terms: 7 + 2 = 9
21 + -6x = 9 + -2x

Solving
21 + -6x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + -6x + 2x = 9 + -2x + 2x

Combine like terms: -6x + 2x = -4x
21 + -4x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + -4x = 9 + 0
21 + -4x = 9

Add '-21' to each side of the equation.
21 + -21 + -4x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = 9 + -21
-4x = 9 + -21

Combine like terms: 9 + -21 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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