2(x-4)-6=-5(x-3)

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Solution for 2(x-4)-6=-5(x-3) equation:


Simplifying
2(x + -4) + -6 = -5(x + -3)

Reorder the terms:
2(-4 + x) + -6 = -5(x + -3)
(-4 * 2 + x * 2) + -6 = -5(x + -3)
(-8 + 2x) + -6 = -5(x + -3)

Reorder the terms:
-8 + -6 + 2x = -5(x + -3)

Combine like terms: -8 + -6 = -14
-14 + 2x = -5(x + -3)

Reorder the terms:
-14 + 2x = -5(-3 + x)
-14 + 2x = (-3 * -5 + x * -5)
-14 + 2x = (15 + -5x)

Solving
-14 + 2x = 15 + -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.
-14 + 2x + 5x = 15 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-14 + 7x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + 7x = 15 + 0
-14 + 7x = 15

Add '14' to each side of the equation.
-14 + 14 + 7x = 15 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 15 + 14
7x = 15 + 14

Combine like terms: 15 + 14 = 29
7x = 29

Divide each side by '7'.
x = 4.142857143

Simplifying
x = 4.142857143

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