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

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

Simplifying
3(2 + -5x) + 2(5x + 2) = 3 + x
(2 * 3 + -5x * 3) + 2(5x + 2) = 3 + x
(6 + -15x) + 2(5x + 2) = 3 + x

Reorder the terms:
6 + -15x + 2(2 + 5x) = 3 + x
6 + -15x + (2 * 2 + 5x * 2) = 3 + x
6 + -15x + (4 + 10x) = 3 + x

Reorder the terms:
6 + 4 + -15x + 10x = 3 + x

Combine like terms: 6 + 4 = 10
10 + -15x + 10x = 3 + x

Combine like terms: -15x + 10x = -5x
10 + -5x = 3 + x

Solving
10 + -5x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -5x + -1x = 3 + x + -1x

Combine like terms: -5x + -1x = -6x
10 + -6x = 3 + x + -1x

Combine like terms: x + -1x = 0
10 + -6x = 3 + 0
10 + -6x = 3

Add '-10' to each side of the equation.
10 + -10 + -6x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 3 + -10
-6x = 3 + -10

Combine like terms: 3 + -10 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667