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

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


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

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

Reorder the terms:
-4 + 2x + -5(-5 + x) = 4(x + -8) + -2(x + -2)
-4 + 2x + (-5 * -5 + x * -5) = 4(x + -8) + -2(x + -2)
-4 + 2x + (25 + -5x) = 4(x + -8) + -2(x + -2)

Reorder the terms:
-4 + 25 + 2x + -5x = 4(x + -8) + -2(x + -2)

Combine like terms: -4 + 25 = 21
21 + 2x + -5x = 4(x + -8) + -2(x + -2)

Combine like terms: 2x + -5x = -3x
21 + -3x = 4(x + -8) + -2(x + -2)

Reorder the terms:
21 + -3x = 4(-8 + x) + -2(x + -2)
21 + -3x = (-8 * 4 + x * 4) + -2(x + -2)
21 + -3x = (-32 + 4x) + -2(x + -2)

Reorder the terms:
21 + -3x = -32 + 4x + -2(-2 + x)
21 + -3x = -32 + 4x + (-2 * -2 + x * -2)
21 + -3x = -32 + 4x + (4 + -2x)

Reorder the terms:
21 + -3x = -32 + 4 + 4x + -2x

Combine like terms: -32 + 4 = -28
21 + -3x = -28 + 4x + -2x

Combine like terms: 4x + -2x = 2x
21 + -3x = -28 + 2x

Solving
21 + -3x = -28 + 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.
21 + -3x + -2x = -28 + 2x + -2x

Combine like terms: -3x + -2x = -5x
21 + -5x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -5x = -28 + 0
21 + -5x = -28

Add '-21' to each side of the equation.
21 + -21 + -5x = -28 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = -28 + -21
-5x = -28 + -21

Combine like terms: -28 + -21 = -49
-5x = -49

Divide each side by '-5'.
x = 9.8

Simplifying
x = 9.8

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