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

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


Simplifying
6(11 + -1x) = 2(3 + 2x)
(11 * 6 + -1x * 6) = 2(3 + 2x)
(66 + -6x) = 2(3 + 2x)
66 + -6x = (3 * 2 + 2x * 2)
66 + -6x = (6 + 4x)

Solving
66 + -6x = 6 + 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.
66 + -6x + -4x = 6 + 4x + -4x

Combine like terms: -6x + -4x = -10x
66 + -10x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
66 + -10x = 6 + 0
66 + -10x = 6

Add '-66' to each side of the equation.
66 + -66 + -10x = 6 + -66

Combine like terms: 66 + -66 = 0
0 + -10x = 6 + -66
-10x = 6 + -66

Combine like terms: 6 + -66 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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