2(x+x)+3(x-7)=10

Solution for 2(x+x)+3(x-7)=10 equation:

Simplifying
2(x + x) + 3(x + -7) = 10

Combine like terms: x + x = 2x
2(2x) + 3(x + -7) = 10

Remove parenthesis around (2x)
2 * 2x + 3(x + -7) = 10

Multiply 2 * 2
4x + 3(x + -7) = 10

Reorder the terms:
4x + 3(-7 + x) = 10
4x + (-7 * 3 + x * 3) = 10
4x + (-21 + 3x) = 10

Reorder the terms:
-21 + 4x + 3x = 10

Combine like terms: 4x + 3x = 7x
-21 + 7x = 10

Solving
-21 + 7x = 10

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 7x = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = 10 + 21
7x = 10 + 21

Combine like terms: 10 + 21 = 31
7x = 31

Divide each side by '7'.
x = 4.428571429

Simplifying
x = 4.428571429