2(x-5)-3(2x-8)=16-6(4x-3)

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Solution for 2(x-5)-3(2x-8)=16-6(4x-3) equation:


Simplifying
2(x + -5) + -3(2x + -8) = 16 + -6(4x + -3)

Reorder the terms:
2(-5 + x) + -3(2x + -8) = 16 + -6(4x + -3)
(-5 * 2 + x * 2) + -3(2x + -8) = 16 + -6(4x + -3)
(-10 + 2x) + -3(2x + -8) = 16 + -6(4x + -3)

Reorder the terms:
-10 + 2x + -3(-8 + 2x) = 16 + -6(4x + -3)
-10 + 2x + (-8 * -3 + 2x * -3) = 16 + -6(4x + -3)
-10 + 2x + (24 + -6x) = 16 + -6(4x + -3)

Reorder the terms:
-10 + 24 + 2x + -6x = 16 + -6(4x + -3)

Combine like terms: -10 + 24 = 14
14 + 2x + -6x = 16 + -6(4x + -3)

Combine like terms: 2x + -6x = -4x
14 + -4x = 16 + -6(4x + -3)

Reorder the terms:
14 + -4x = 16 + -6(-3 + 4x)
14 + -4x = 16 + (-3 * -6 + 4x * -6)
14 + -4x = 16 + (18 + -24x)

Combine like terms: 16 + 18 = 34
14 + -4x = 34 + -24x

Solving
14 + -4x = 34 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
14 + -4x + 24x = 34 + -24x + 24x

Combine like terms: -4x + 24x = 20x
14 + 20x = 34 + -24x + 24x

Combine like terms: -24x + 24x = 0
14 + 20x = 34 + 0
14 + 20x = 34

Add '-14' to each side of the equation.
14 + -14 + 20x = 34 + -14

Combine like terms: 14 + -14 = 0
0 + 20x = 34 + -14
20x = 34 + -14

Combine like terms: 34 + -14 = 20
20x = 20

Divide each side by '20'.
x = 1

Simplifying
x = 1

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