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

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


Simplifying
-7(3 + -1x) = -7 + 6(x + -2)
(3 * -7 + -1x * -7) = -7 + 6(x + -2)
(-21 + 7x) = -7 + 6(x + -2)

Reorder the terms:
-21 + 7x = -7 + 6(-2 + x)
-21 + 7x = -7 + (-2 * 6 + x * 6)
-21 + 7x = -7 + (-12 + 6x)

Combine like terms: -7 + -12 = -19
-21 + 7x = -19 + 6x

Solving
-21 + 7x = -19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-21 + 7x + -6x = -19 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-21 + 1x = -19 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + 1x = -19 + 0
-21 + 1x = -19

Add '21' to each side of the equation.
-21 + 21 + 1x = -19 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -19 + 21
1x = -19 + 21

Combine like terms: -19 + 21 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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