4x-4(2x+11)=5x-17

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Solution for 4x-4(2x+11)=5x-17 equation:


Simplifying
4x + -4(2x + 11) = 5x + -17

Reorder the terms:
4x + -4(11 + 2x) = 5x + -17
4x + (11 * -4 + 2x * -4) = 5x + -17
4x + (-44 + -8x) = 5x + -17

Reorder the terms:
-44 + 4x + -8x = 5x + -17

Combine like terms: 4x + -8x = -4x
-44 + -4x = 5x + -17

Reorder the terms:
-44 + -4x = -17 + 5x

Solving
-44 + -4x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-44 + -4x + -5x = -17 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-44 + -9x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-44 + -9x = -17 + 0
-44 + -9x = -17

Add '44' to each side of the equation.
-44 + 44 + -9x = -17 + 44

Combine like terms: -44 + 44 = 0
0 + -9x = -17 + 44
-9x = -17 + 44

Combine like terms: -17 + 44 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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