5(x-1)=3(x+4)+27

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Solution for 5(x-1)=3(x+4)+27 equation:


Simplifying
5(x + -1) = 3(x + 4) + 27

Reorder the terms:
5(-1 + x) = 3(x + 4) + 27
(-1 * 5 + x * 5) = 3(x + 4) + 27
(-5 + 5x) = 3(x + 4) + 27

Reorder the terms:
-5 + 5x = 3(4 + x) + 27
-5 + 5x = (4 * 3 + x * 3) + 27
-5 + 5x = (12 + 3x) + 27

Reorder the terms:
-5 + 5x = 12 + 27 + 3x

Combine like terms: 12 + 27 = 39
-5 + 5x = 39 + 3x

Solving
-5 + 5x = 39 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 5x + -3x = 39 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 2x = 39 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 2x = 39 + 0
-5 + 2x = 39

Add '5' to each side of the equation.
-5 + 5 + 2x = 39 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 39 + 5
2x = 39 + 5

Combine like terms: 39 + 5 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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