-28+x=-6(x-3)-4

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Solution for -28+x=-6(x-3)-4 equation:


Simplifying
-28 + x = -6(x + -3) + -4

Reorder the terms:
-28 + x = -6(-3 + x) + -4
-28 + x = (-3 * -6 + x * -6) + -4
-28 + x = (18 + -6x) + -4

Reorder the terms:
-28 + x = 18 + -4 + -6x

Combine like terms: 18 + -4 = 14
-28 + x = 14 + -6x

Solving
-28 + x = 14 + -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.
-28 + x + 6x = 14 + -6x + 6x

Combine like terms: x + 6x = 7x
-28 + 7x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
-28 + 7x = 14 + 0
-28 + 7x = 14

Add '28' to each side of the equation.
-28 + 28 + 7x = 14 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = 14 + 28
7x = 14 + 28

Combine like terms: 14 + 28 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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