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

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


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

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

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

Multiply -2 * -3
3 + 6x = 3(4 + -1x)
3 + 6x = (4 * 3 + -1x * 3)
3 + 6x = (12 + -3x)

Solving
3 + 6x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3 + 6x + 3x = 12 + -3x + 3x

Combine like terms: 6x + 3x = 9x
3 + 9x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 9x = 12 + 0
3 + 9x = 12

Add '-3' to each side of the equation.
3 + -3 + 9x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 12 + -3
9x = 12 + -3

Combine like terms: 12 + -3 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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