2(2x+9)-2(x+3)=x+11-5(4-x)

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Solution for 2(2x+9)-2(x+3)=x+11-5(4-x) equation:


Simplifying
2(2x + 9) + -2(x + 3) = x + 11 + -5(4 + -1x)

Reorder the terms:
2(9 + 2x) + -2(x + 3) = x + 11 + -5(4 + -1x)
(9 * 2 + 2x * 2) + -2(x + 3) = x + 11 + -5(4 + -1x)
(18 + 4x) + -2(x + 3) = x + 11 + -5(4 + -1x)

Reorder the terms:
18 + 4x + -2(3 + x) = x + 11 + -5(4 + -1x)
18 + 4x + (3 * -2 + x * -2) = x + 11 + -5(4 + -1x)
18 + 4x + (-6 + -2x) = x + 11 + -5(4 + -1x)

Reorder the terms:
18 + -6 + 4x + -2x = x + 11 + -5(4 + -1x)

Combine like terms: 18 + -6 = 12
12 + 4x + -2x = x + 11 + -5(4 + -1x)

Combine like terms: 4x + -2x = 2x
12 + 2x = x + 11 + -5(4 + -1x)
12 + 2x = x + 11 + (4 * -5 + -1x * -5)
12 + 2x = x + 11 + (-20 + 5x)

Reorder the terms:
12 + 2x = 11 + -20 + x + 5x

Combine like terms: 11 + -20 = -9
12 + 2x = -9 + x + 5x

Combine like terms: x + 5x = 6x
12 + 2x = -9 + 6x

Solving
12 + 2x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 2x + -6x = -9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
12 + -4x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -4x = -9 + 0
12 + -4x = -9

Add '-12' to each side of the equation.
12 + -12 + -4x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -9 + -12
-4x = -9 + -12

Combine like terms: -9 + -12 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25

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