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

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


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

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

Combine like terms: 11 + 3 = 14
14 + -3x = 2(x + 2)

Reorder the terms:
14 + -3x = 2(2 + x)
14 + -3x = (2 * 2 + x * 2)
14 + -3x = (4 + 2x)

Solving
14 + -3x = 4 + 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.
14 + -3x + -2x = 4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
14 + -5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -5x = 4 + 0
14 + -5x = 4

Add '-14' to each side of the equation.
14 + -14 + -5x = 4 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 4 + -14
-5x = 4 + -14

Combine like terms: 4 + -14 = -10
-5x = -10

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

Simplifying
x = 2

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