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

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


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

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

Remove parenthesis around (-11 + x)
3 + -11 + x = 3(2x + 1) + -1

Combine like terms: 3 + -11 = -8
-8 + x = 3(2x + 1) + -1

Reorder the terms:
-8 + x = 3(1 + 2x) + -1
-8 + x = (1 * 3 + 2x * 3) + -1
-8 + x = (3 + 6x) + -1

Reorder the terms:
-8 + x = 3 + -1 + 6x

Combine like terms: 3 + -1 = 2
-8 + x = 2 + 6x

Solving
-8 + x = 2 + 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.
-8 + x + -6x = 2 + 6x + -6x

Combine like terms: x + -6x = -5x
-8 + -5x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -5x = 2 + 0
-8 + -5x = 2

Add '8' to each side of the equation.
-8 + 8 + -5x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 2 + 8
-5x = 2 + 8

Combine like terms: 2 + 8 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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