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

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

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

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

Reorder the terms:
-5 + 5x + 2(2 + x) = 34
-5 + 5x + (2 * 2 + x * 2) = 34
-5 + 5x + (4 + 2x) = 34

Reorder the terms:
-5 + 4 + 5x + 2x = 34

Combine like terms: -5 + 4 = -1
-1 + 5x + 2x = 34

Combine like terms: 5x + 2x = 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