-28=2(x-3)-5(x-1)

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Solution for -28=2(x-3)-5(x-1) equation:


Simplifying
-28 = 2(x + -3) + -5(x + -1)

Reorder the terms:
-28 = 2(-3 + x) + -5(x + -1)
-28 = (-3 * 2 + x * 2) + -5(x + -1)
-28 = (-6 + 2x) + -5(x + -1)

Reorder the terms:
-28 = -6 + 2x + -5(-1 + x)
-28 = -6 + 2x + (-1 * -5 + x * -5)
-28 = -6 + 2x + (5 + -5x)

Reorder the terms:
-28 = -6 + 5 + 2x + -5x

Combine like terms: -6 + 5 = -1
-28 = -1 + 2x + -5x

Combine like terms: 2x + -5x = -3x
-28 = -1 + -3x

Solving
-28 = -1 + -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.
-28 + 3x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 3x = -1 + 0
-28 + 3x = -1

Add '28' to each side of the equation.
-28 + 28 + 3x = -1 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -1 + 28
3x = -1 + 28

Combine like terms: -1 + 28 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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