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

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


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

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

Solving
8 + -6x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + -6x + -4x = -10 + 4x + -4x

Combine like terms: -6x + -4x = -10x
8 + -10x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -10x = -10 + 0
8 + -10x = -10

Add '-8' to each side of the equation.
8 + -8 + -10x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = -10 + -8
-10x = -10 + -8

Combine like terms: -10 + -8 = -18
-10x = -18

Divide each side by '-10'.
x = 1.8

Simplifying
x = 1.8

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