18-4(x+4)=20(x+2)-11

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Solution for 18-4(x+4)=20(x+2)-11 equation:


Simplifying
18 + -4(x + 4) = 20(x + 2) + -11

Reorder the terms:
18 + -4(4 + x) = 20(x + 2) + -11
18 + (4 * -4 + x * -4) = 20(x + 2) + -11
18 + (-16 + -4x) = 20(x + 2) + -11

Combine like terms: 18 + -16 = 2
2 + -4x = 20(x + 2) + -11

Reorder the terms:
2 + -4x = 20(2 + x) + -11
2 + -4x = (2 * 20 + x * 20) + -11
2 + -4x = (40 + 20x) + -11

Reorder the terms:
2 + -4x = 40 + -11 + 20x

Combine like terms: 40 + -11 = 29
2 + -4x = 29 + 20x

Solving
2 + -4x = 29 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
2 + -4x + -20x = 29 + 20x + -20x

Combine like terms: -4x + -20x = -24x
2 + -24x = 29 + 20x + -20x

Combine like terms: 20x + -20x = 0
2 + -24x = 29 + 0
2 + -24x = 29

Add '-2' to each side of the equation.
2 + -2 + -24x = 29 + -2

Combine like terms: 2 + -2 = 0
0 + -24x = 29 + -2
-24x = 29 + -2

Combine like terms: 29 + -2 = 27
-24x = 27

Divide each side by '-24'.
x = -1.125

Simplifying
x = -1.125

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