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

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


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

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

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

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

Combine like terms: 12 + -5 = 7
-5 + 5x = 7 + 3x

Solving
-5 + 5x = 7 + 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 = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 2x = 7 + 0
-5 + 2x = 7

Add '5' to each side of the equation.
-5 + 5 + 2x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 7 + 5
2x = 7 + 5

Combine like terms: 7 + 5 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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