2(x-3)+5(x+1)=34

Solution for 2(x-3)+5(x+1)=34 equation:

Simplifying
2(x + -3) + 5(x + 1) = 34

Reorder the terms:
2(-3 + x) + 5(x + 1) = 34
(-3 * 2 + x * 2) + 5(x + 1) = 34
(-6 + 2x) + 5(x + 1) = 34

Reorder the terms:
-6 + 2x + 5(1 + x) = 34
-6 + 2x + (1 * 5 + x * 5) = 34
-6 + 2x + (5 + 5x) = 34

Reorder the terms:
-6 + 5 + 2x + 5x = 34

Combine like terms: -6 + 5 = -1
-1 + 2x + 5x = 34

Combine like terms: 2x + 5x = 7x
-1 + 7x = 34

Solving
-1 + 7x = 34

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 7x = 34 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 34 + 1
7x = 34 + 1

Combine like terms: 34 + 1 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5