1x-(1x+17)=2(11-3x)

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Solution for 1x-(1x+17)=2(11-3x) equation:


Simplifying
1x + -1(1x + 17) = 2(11 + -3x)

Reorder the terms:
1x + -1(17 + 1x) = 2(11 + -3x)
1x + (17 * -1 + 1x * -1) = 2(11 + -3x)
1x + (-17 + -1x) = 2(11 + -3x)

Reorder the terms:
-17 + 1x + -1x = 2(11 + -3x)

Combine like terms: 1x + -1x = 0
-17 + 0 = 2(11 + -3x)
-17 = 2(11 + -3x)
-17 = (11 * 2 + -3x * 2)
-17 = (22 + -6x)

Solving
-17 = 22 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-17 + 6x = 22 + -6x + 6x

Combine like terms: -6x + 6x = 0
-17 + 6x = 22 + 0
-17 + 6x = 22

Add '17' to each side of the equation.
-17 + 17 + 6x = 22 + 17

Combine like terms: -17 + 17 = 0
0 + 6x = 22 + 17
6x = 22 + 17

Combine like terms: 22 + 17 = 39
6x = 39

Divide each side by '6'.
x = 6.5

Simplifying
x = 6.5

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