2(x-6)-28=5-3x

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Solution for 2(x-6)-28=5-3x equation:


Simplifying
2(x + -6) + -28 = 5 + -3x

Reorder the terms:
2(-6 + x) + -28 = 5 + -3x
(-6 * 2 + x * 2) + -28 = 5 + -3x
(-12 + 2x) + -28 = 5 + -3x

Reorder the terms:
-12 + -28 + 2x = 5 + -3x

Combine like terms: -12 + -28 = -40
-40 + 2x = 5 + -3x

Solving
-40 + 2x = 5 + -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.
-40 + 2x + 3x = 5 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-40 + 5x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-40 + 5x = 5 + 0
-40 + 5x = 5

Add '40' to each side of the equation.
-40 + 40 + 5x = 5 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = 5 + 40
5x = 5 + 40

Combine like terms: 5 + 40 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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