2=5(x-4)+5-4x

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


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

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

Reorder the terms:
2 = -20 + 5 + 5x + -4x

Combine like terms: -20 + 5 = -15
2 = -15 + 5x + -4x

Combine like terms: 5x + -4x = 1x
2 = -15 + 1x

Solving
2 = -15 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -1x = -15 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + -1x = -15 + 0
2 + -1x = -15

Add '-2' to each side of the equation.
2 + -2 + -1x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -15 + -2
-1x = -15 + -2

Combine like terms: -15 + -2 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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