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

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

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

Combine like terms: 2 + -5 = -3
3 + -2x(-3) = 3(4 + -6)

Reorder the terms for easier multiplication:
3 + -2 * -3x = 3(4 + -6)

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

Combine like terms: 4 + -6 = -2
3 + 6x = 3(-2)

Multiply 3 * -2
3 + 6x = -6

Solving
3 + 6x = -6

Solving for variable 'x'.

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

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

Combine like terms: 3 + -3 = 0
0 + 6x = -6 + -3
6x = -6 + -3

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

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5