4(2x-3)-5=5x-44

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Solution for 4(2x-3)-5=5x-44 equation:


Simplifying
4(2x + -3) + -5 = 5x + -44

Reorder the terms:
4(-3 + 2x) + -5 = 5x + -44
(-3 * 4 + 2x * 4) + -5 = 5x + -44
(-12 + 8x) + -5 = 5x + -44

Reorder the terms:
-12 + -5 + 8x = 5x + -44

Combine like terms: -12 + -5 = -17
-17 + 8x = 5x + -44

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

Solving
-17 + 8x = -44 + 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.
-17 + 8x + -5x = -44 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-17 + 3x = -44 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + 3x = -44 + 0
-17 + 3x = -44

Add '17' to each side of the equation.
-17 + 17 + 3x = -44 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = -44 + 17
3x = -44 + 17

Combine like terms: -44 + 17 = -27
3x = -27

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

Simplifying
x = -9

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