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

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


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

Reorder the terms:
3(2 + x) = 11 + -2(2 + -1x)
(2 * 3 + x * 3) = 11 + -2(2 + -1x)
(6 + 3x) = 11 + -2(2 + -1x)
6 + 3x = 11 + (2 * -2 + -1x * -2)
6 + 3x = 11 + (-4 + 2x)

Combine like terms: 11 + -4 = 7
6 + 3x = 7 + 2x

Solving
6 + 3x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = 7 + 0
6 + 1x = 7

Add '-6' to each side of the equation.
6 + -6 + 1x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 7 + -6
1x = 7 + -6

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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