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

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


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

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

Remove parenthesis around (-5 + 4x)
-5 + 4x = 2(3x + -8)

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

Solving
-5 + 4x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 4x + -6x = -16 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-5 + -2x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -2x = -16 + 0
-5 + -2x = -16

Add '5' to each side of the equation.
-5 + 5 + -2x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -16 + 5
-2x = -16 + 5

Combine like terms: -16 + 5 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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