7x-11=2(2x+6)

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Solution for 7x-11=2(2x+6) equation:


Simplifying
7x + -11 = 2(2x + 6)

Reorder the terms:
-11 + 7x = 2(2x + 6)

Reorder the terms:
-11 + 7x = 2(6 + 2x)
-11 + 7x = (6 * 2 + 2x * 2)
-11 + 7x = (12 + 4x)

Solving
-11 + 7x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-11 + 7x + -4x = 12 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-11 + 3x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + 3x = 12 + 0
-11 + 3x = 12

Add '11' to each side of the equation.
-11 + 11 + 3x = 12 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 12 + 11
3x = 12 + 11

Combine like terms: 12 + 11 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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