2(x-8)+3(x+2)=8(x-2)-5(x-4)

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Solution for 2(x-8)+3(x+2)=8(x-2)-5(x-4) equation: 


Simplifying
2(x + -8) + 3(x + 2) = 8(x + -2) + -5(x + -4)

Reorder the terms:
2(-8 + x) + 3(x + 2) = 8(x + -2) + -5(x + -4)
(-8 * 2 + x * 2) + 3(x + 2) = 8(x + -2) + -5(x + -4)
(-16 + 2x) + 3(x + 2) = 8(x + -2) + -5(x + -4)

Reorder the terms:
-16 + 2x + 3(2 + x) = 8(x + -2) + -5(x + -4)
-16 + 2x + (2 * 3 + x * 3) = 8(x + -2) + -5(x + -4)
-16 + 2x + (6 + 3x) = 8(x + -2) + -5(x + -4)

Reorder the terms:
-16 + 6 + 2x + 3x = 8(x + -2) + -5(x + -4)

Combine like terms: -16 + 6 = -10
-10 + 2x + 3x = 8(x + -2) + -5(x + -4)

Combine like terms: 2x + 3x = 5x
-10 + 5x = 8(x + -2) + -5(x + -4)

Reorder the terms:
-10 + 5x = 8(-2 + x) + -5(x + -4)
-10 + 5x = (-2 * 8 + x * 8) + -5(x + -4)
-10 + 5x = (-16 + 8x) + -5(x + -4)

Reorder the terms:
-10 + 5x = -16 + 8x + -5(-4 + x)
-10 + 5x = -16 + 8x + (-4 * -5 + x * -5)
-10 + 5x = -16 + 8x + (20 + -5x)

Reorder the terms:
-10 + 5x = -16 + 20 + 8x + -5x

Combine like terms: -16 + 20 = 4
-10 + 5x = 4 + 8x + -5x

Combine like terms: 8x + -5x = 3x
-10 + 5x = 4 + 3x

Solving
-10 + 5x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x = 4 + 0
-10 + 2x = 4

Add '10' to each side of the equation.
-10 + 10 + 2x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 4 + 10
2x = 4 + 10

Combine like terms: 4 + 10 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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