11-4(x+2)=2(x+3)

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Solution for 11-4(x+2)=2(x+3) equation:


Simplifying
11 + -4(x + 2) = 2(x + 3)

Reorder the terms:
11 + -4(2 + x) = 2(x + 3)
11 + (2 * -4 + x * -4) = 2(x + 3)
11 + (-8 + -4x) = 2(x + 3)

Combine like terms: 11 + -8 = 3
3 + -4x = 2(x + 3)

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

Solving
3 + -4x = 6 + 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.
3 + -4x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + -6x = 6 + 0
3 + -6x = 6

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

Combine like terms: 3 + -3 = 0
0 + -6x = 6 + -3
-6x = 6 + -3

Combine like terms: 6 + -3 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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