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

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


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

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

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

Remove parenthesis around (2 + x)
-5 + 5x + 2 + x = 34

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

Combine like terms: -5 + 2 = -3
-3 + 5x + x = 34

Combine like terms: 5x + x = 6x
-3 + 6x = 34

Solving
-3 + 6x = 34

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = 34 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 34 + 3
6x = 34 + 3

Combine like terms: 34 + 3 = 37
6x = 37

Divide each side by '6'.
x = 6.166666667

Simplifying
x = 6.166666667

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