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

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


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

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

Reorder the terms:
16 + 4x + 5(-2 + 3x) = 8(4x + -5) + 2(x + 8)
16 + 4x + (-2 * 5 + 3x * 5) = 8(4x + -5) + 2(x + 8)
16 + 4x + (-10 + 15x) = 8(4x + -5) + 2(x + 8)

Reorder the terms:
16 + -10 + 4x + 15x = 8(4x + -5) + 2(x + 8)

Combine like terms: 16 + -10 = 6
6 + 4x + 15x = 8(4x + -5) + 2(x + 8)

Combine like terms: 4x + 15x = 19x
6 + 19x = 8(4x + -5) + 2(x + 8)

Reorder the terms:
6 + 19x = 8(-5 + 4x) + 2(x + 8)
6 + 19x = (-5 * 8 + 4x * 8) + 2(x + 8)
6 + 19x = (-40 + 32x) + 2(x + 8)

Reorder the terms:
6 + 19x = -40 + 32x + 2(8 + x)
6 + 19x = -40 + 32x + (8 * 2 + x * 2)
6 + 19x = -40 + 32x + (16 + 2x)

Reorder the terms:
6 + 19x = -40 + 16 + 32x + 2x

Combine like terms: -40 + 16 = -24
6 + 19x = -24 + 32x + 2x

Combine like terms: 32x + 2x = 34x
6 + 19x = -24 + 34x

Solving
6 + 19x = -24 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
6 + 19x + -34x = -24 + 34x + -34x

Combine like terms: 19x + -34x = -15x
6 + -15x = -24 + 34x + -34x

Combine like terms: 34x + -34x = 0
6 + -15x = -24 + 0
6 + -15x = -24

Add '-6' to each side of the equation.
6 + -6 + -15x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = -24 + -6
-15x = -24 + -6

Combine like terms: -24 + -6 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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