8-5(x-4)=2x-6

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Solution for 8-5(x-4)=2x-6 equation:


Simplifying
8 + -5(x + -4) = 2x + -6

Reorder the terms:
8 + -5(-4 + x) = 2x + -6
8 + (-4 * -5 + x * -5) = 2x + -6
8 + (20 + -5x) = 2x + -6

Combine like terms: 8 + 20 = 28
28 + -5x = 2x + -6

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

Solving
28 + -5x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + -5x + -2x = -6 + 2x + -2x

Combine like terms: -5x + -2x = -7x
28 + -7x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + -7x = -6 + 0
28 + -7x = -6

Add '-28' to each side of the equation.
28 + -28 + -7x = -6 + -28

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

Combine like terms: -6 + -28 = -34
-7x = -34

Divide each side by '-7'.
x = 4.857142857

Simplifying
x = 4.857142857

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