2(x+3)+4(x-10)=1

Solution for 2(x+3)+4(x-10)=1 equation:

Simplifying
2(x + 3) + 4(x + -10) = 1

Reorder the terms:
2(3 + x) + 4(x + -10) = 1
(3 * 2 + x * 2) + 4(x + -10) = 1
(6 + 2x) + 4(x + -10) = 1

Reorder the terms:
6 + 2x + 4(-10 + x) = 1
6 + 2x + (-10 * 4 + x * 4) = 1
6 + 2x + (-40 + 4x) = 1

Reorder the terms:
6 + -40 + 2x + 4x = 1

Combine like terms: 6 + -40 = -34
-34 + 2x + 4x = 1

Combine like terms: 2x + 4x = 6x
-34 + 6x = 1

Solving
-34 + 6x = 1

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 6x = 1 + 34

Combine like terms: -34 + 34 = 0
0 + 6x = 1 + 34
6x = 1 + 34

Combine like terms: 1 + 34 = 35
6x = 35

Divide each side by '6'.
x = 5.833333333

Simplifying
x = 5.833333333