2(x+5).3(5-x)=5

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

Simplifying
2(x + 5) * 0.3(5 + -1x) = 5

Reorder the terms:
2(5 + x) * 0.3(5 + -1x) = 5

Reorder the terms for easier multiplication:
2 * 0.3(5 + x)(5 + -1x) = 5

Multiply 2 * 0.3
0.6(5 + x)(5 + -1x) = 5

Multiply (5 + x) * (5 + -1x)
0.6(5(5 + -1x) + x(5 + -1x)) = 5
0.6((5 * 5 + -1x * 5) + x(5 + -1x)) = 5
0.6((25 + -5x) + x(5 + -1x)) = 5
0.6(25 + -5x + (5 * x + -1x * x)) = 5
0.6(25 + -5x + (5x + -1x2)) = 5

Combine like terms: -5x + 5x = 0
0.6(25 + 0 + -1x2) = 5
0.6(25 + -1x2) = 5
(25 * 0.6 + -1x2 * 0.6) = 5
(15 + -0.6x2) = 5

Solving
15 + -0.6x2 = 5

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -0.6x2 = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -0.6x2 = 5 + -15
-0.6x2 = 5 + -15

Combine like terms: 5 + -15 = -10
-0.6x2 = -10

Divide each side by '-0.6'.
x2 = 16.66666667

Simplifying
x2 = 16.66666667

Take the square root of each side:
x = {-4.082482905, 4.082482905}