x+3(2x-1)=5+6(x+2)-11

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Solution for x+3(2x-1)=5+6(x+2)-11 equation:


Simplifying
x + 3(2x + -1) = 5 + 6(x + 2) + -11

Reorder the terms:
x + 3(-1 + 2x) = 5 + 6(x + 2) + -11
x + (-1 * 3 + 2x * 3) = 5 + 6(x + 2) + -11
x + (-3 + 6x) = 5 + 6(x + 2) + -11

Reorder the terms:
-3 + x + 6x = 5 + 6(x + 2) + -11

Combine like terms: x + 6x = 7x
-3 + 7x = 5 + 6(x + 2) + -11

Reorder the terms:
-3 + 7x = 5 + 6(2 + x) + -11
-3 + 7x = 5 + (2 * 6 + x * 6) + -11
-3 + 7x = 5 + (12 + 6x) + -11

Reorder the terms:
-3 + 7x = 5 + 12 + -11 + 6x

Combine like terms: 5 + 12 = 17
-3 + 7x = 17 + -11 + 6x

Combine like terms: 17 + -11 = 6
-3 + 7x = 6 + 6x

Solving
-3 + 7x = 6 + 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.
-3 + 7x + -6x = 6 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-3 + 1x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 1x = 6 + 0
-3 + 1x = 6

Add '3' to each side of the equation.
-3 + 3 + 1x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 6 + 3
1x = 6 + 3

Combine like terms: 6 + 3 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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