2[2(3-5x)+4]=5[2(3-3)+2]

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

Simplifying
2[2(3 + -5x) + 4] = 5[2(3 + -3) + 2]
2[(3 * 2 + -5x * 2) + 4] = 5[2(3 + -3) + 2]
2[(6 + -10x) + 4] = 5[2(3 + -3) + 2]

Reorder the terms:
2[6 + 4 + -10x] = 5[2(3 + -3) + 2]

Combine like terms: 6 + 4 = 10
2[10 + -10x] = 5[2(3 + -3) + 2]
[10 * 2 + -10x * 2] = 5[2(3 + -3) + 2]
[20 + -20x] = 5[2(3 + -3) + 2]

Combine like terms: 3 + -3 = 0
20 + -20x = 5[2(0) + 2]

Multiply 2 * 0
20 + -20x = 5[0 + 2]

Anything times zero is zero.
20 + -20x = 5[0 + 2]

Combine like terms: 0 + 2 = 2
20 + -20x = 5[2]

Multiply 5 * 2
20 + -20x = 10

Solving
20 + -20x = 10

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -20x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -20x = 10 + -20
-20x = 10 + -20

Combine like terms: 10 + -20 = -10
-20x = -10

Divide each side by '-20'.
x = 0.5

Simplifying
x = 0.5