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

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


Simplifying
2(x + -2) + -1(x + -5) = 4(x + -8) + -2(x + -2)

Reorder the terms:
2(-2 + x) + -1(x + -5) = 4(x + -8) + -2(x + -2)
(-2 * 2 + x * 2) + -1(x + -5) = 4(x + -8) + -2(x + -2)
(-4 + 2x) + -1(x + -5) = 4(x + -8) + -2(x + -2)

Reorder the terms:
-4 + 2x + -1(-5 + x) = 4(x + -8) + -2(x + -2)
-4 + 2x + (-5 * -1 + x * -1) = 4(x + -8) + -2(x + -2)
-4 + 2x + (5 + -1x) = 4(x + -8) + -2(x + -2)

Reorder the terms:
-4 + 5 + 2x + -1x = 4(x + -8) + -2(x + -2)

Combine like terms: -4 + 5 = 1
1 + 2x + -1x = 4(x + -8) + -2(x + -2)

Combine like terms: 2x + -1x = 1x
1 + 1x = 4(x + -8) + -2(x + -2)

Reorder the terms:
1 + 1x = 4(-8 + x) + -2(x + -2)
1 + 1x = (-8 * 4 + x * 4) + -2(x + -2)
1 + 1x = (-32 + 4x) + -2(x + -2)

Reorder the terms:
1 + 1x = -32 + 4x + -2(-2 + x)
1 + 1x = -32 + 4x + (-2 * -2 + x * -2)
1 + 1x = -32 + 4x + (4 + -2x)

Reorder the terms:
1 + 1x = -32 + 4 + 4x + -2x

Combine like terms: -32 + 4 = -28
1 + 1x = -28 + 4x + -2x

Combine like terms: 4x + -2x = 2x
1 + 1x = -28 + 2x

Solving
1 + 1x = -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.
1 + 1x + -2x = -28 + 2x + -2x

Combine like terms: 1x + -2x = -1x
1 + -1x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -1x = -28 + 0
1 + -1x = -28

Add '-1' to each side of the equation.
1 + -1 + -1x = -28 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -28 + -1
-1x = -28 + -1

Combine like terms: -28 + -1 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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