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

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


Simplifying
6 + -4(2x + -5) = 2(3 + -1x)

Reorder the terms:
6 + -4(-5 + 2x) = 2(3 + -1x)
6 + (-5 * -4 + 2x * -4) = 2(3 + -1x)
6 + (20 + -8x) = 2(3 + -1x)

Combine like terms: 6 + 20 = 26
26 + -8x = 2(3 + -1x)
26 + -8x = (3 * 2 + -1x * 2)
26 + -8x = (6 + -2x)

Solving
26 + -8x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
26 + -8x + 2x = 6 + -2x + 2x

Combine like terms: -8x + 2x = -6x
26 + -6x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
26 + -6x = 6 + 0
26 + -6x = 6

Add '-26' to each side of the equation.
26 + -26 + -6x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -6x = 6 + -26
-6x = 6 + -26

Combine like terms: 6 + -26 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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