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

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


Simplifying
5 + -3(x + 11) = 2(x + 11) + -5

Reorder the terms:
5 + -3(11 + x) = 2(x + 11) + -5
5 + (11 * -3 + x * -3) = 2(x + 11) + -5
5 + (-33 + -3x) = 2(x + 11) + -5

Combine like terms: 5 + -33 = -28
-28 + -3x = 2(x + 11) + -5

Reorder the terms:
-28 + -3x = 2(11 + x) + -5
-28 + -3x = (11 * 2 + x * 2) + -5
-28 + -3x = (22 + 2x) + -5

Reorder the terms:
-28 + -3x = 22 + -5 + 2x

Combine like terms: 22 + -5 = 17
-28 + -3x = 17 + 2x

Solving
-28 + -3x = 17 + 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.
-28 + -3x + -2x = 17 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-28 + -5x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + -5x = 17 + 0
-28 + -5x = 17

Add '28' to each side of the equation.
-28 + 28 + -5x = 17 + 28

Combine like terms: -28 + 28 = 0
0 + -5x = 17 + 28
-5x = 17 + 28

Combine like terms: 17 + 28 = 45
-5x = 45

Divide each side by '-5'.
x = -9

Simplifying
x = -9

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