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

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


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

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

Reorder the terms:
-6 + 2x = -5(-6 + x) + 28
-6 + 2x = (-6 * -5 + x * -5) + 28
-6 + 2x = (30 + -5x) + 28

Reorder the terms:
-6 + 2x = 30 + 28 + -5x

Combine like terms: 30 + 28 = 58
-6 + 2x = 58 + -5x

Solving
-6 + 2x = 58 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + 2x + 5x = 58 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-6 + 7x = 58 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 7x = 58 + 0
-6 + 7x = 58

Add '6' to each side of the equation.
-6 + 6 + 7x = 58 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 58 + 6
7x = 58 + 6

Combine like terms: 58 + 6 = 64
7x = 64

Divide each side by '7'.
x = 9.142857143

Simplifying
x = 9.142857143

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