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

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


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

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

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

Combine like terms: -4 + -5 = -9
-9 + 2x = -5(-4x + 3) + -4x

Reorder the terms:
-9 + 2x = -5(3 + -4x) + -4x
-9 + 2x = (3 * -5 + -4x * -5) + -4x
-9 + 2x = (-15 + 20x) + -4x

Combine like terms: 20x + -4x = 16x
-9 + 2x = -15 + 16x

Solving
-9 + 2x = -15 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-9 + 2x + -16x = -15 + 16x + -16x

Combine like terms: 2x + -16x = -14x
-9 + -14x = -15 + 16x + -16x

Combine like terms: 16x + -16x = 0
-9 + -14x = -15 + 0
-9 + -14x = -15

Add '9' to each side of the equation.
-9 + 9 + -14x = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -14x = -15 + 9
-14x = -15 + 9

Combine like terms: -15 + 9 = -6
-14x = -6

Divide each side by '-14'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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