1(3x+1)+6(x-1)=22

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Solution for 1(3x+1)+6(x-1)=22 equation:


Simplifying
1(3x + 1) + 6(x + -1) = 22

Reorder the terms:
1(1 + 3x) + 6(x + -1) = 22
(1 * 1 + 3x * 1) + 6(x + -1) = 22
(1 + 3x) + 6(x + -1) = 22

Reorder the terms:
1 + 3x + 6(-1 + x) = 22
1 + 3x + (-1 * 6 + x * 6) = 22
1 + 3x + (-6 + 6x) = 22

Reorder the terms:
1 + -6 + 3x + 6x = 22

Combine like terms: 1 + -6 = -5
-5 + 3x + 6x = 22

Combine like terms: 3x + 6x = 9x
-5 + 9x = 22

Solving
-5 + 9x = 22

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 9x = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 22 + 5
9x = 22 + 5

Combine like terms: 22 + 5 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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