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

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


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

Combine like terms: 2 + -5 = -3
3 + -2x(-3) = 2(4 + -1x)

Reorder the terms for easier multiplication:
3 + -2 * -3x = 2(4 + -1x)

Multiply -2 * -3
3 + 6x = 2(4 + -1x)
3 + 6x = (4 * 2 + -1x * 2)
3 + 6x = (8 + -2x)

Solving
3 + 6x = 8 + -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.
3 + 6x + 2x = 8 + -2x + 2x

Combine like terms: 6x + 2x = 8x
3 + 8x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 8x = 8 + 0
3 + 8x = 8

Add '-3' to each side of the equation.
3 + -3 + 8x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 8 + -3
8x = 8 + -3

Combine like terms: 8 + -3 = 5
8x = 5

Divide each side by '8'.
x = 0.625

Simplifying
x = 0.625

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