2(x-3)+2(x-7)=40

Solution for 2(x-3)+2(x-7)=40 equation:

Simplifying
2(x + -3) + 2(x + -7) = 40

Reorder the terms:
2(-3 + x) + 2(x + -7) = 40
(-3 * 2 + x * 2) + 2(x + -7) = 40
(-6 + 2x) + 2(x + -7) = 40

Reorder the terms:
-6 + 2x + 2(-7 + x) = 40
-6 + 2x + (-7 * 2 + x * 2) = 40
-6 + 2x + (-14 + 2x) = 40

Reorder the terms:
-6 + -14 + 2x + 2x = 40

Combine like terms: -6 + -14 = -20
-20 + 2x + 2x = 40

Combine like terms: 2x + 2x = 4x
-20 + 4x = 40

Solving
-20 + 4x = 40

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 + 4x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 40 + 20
4x = 40 + 20

Combine like terms: 40 + 20 = 60
4x = 60

Divide each side by '4'.
x = 15

Simplifying
x = 15