5(x-5)-6=3(x+4)

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Solution for 5(x-5)-6=3(x+4) equation:


Simplifying
5(x + -5) + -6 = 3(x + 4)

Reorder the terms:
5(-5 + x) + -6 = 3(x + 4)
(-5 * 5 + x * 5) + -6 = 3(x + 4)
(-25 + 5x) + -6 = 3(x + 4)

Reorder the terms:
-25 + -6 + 5x = 3(x + 4)

Combine like terms: -25 + -6 = -31
-31 + 5x = 3(x + 4)

Reorder the terms:
-31 + 5x = 3(4 + x)
-31 + 5x = (4 * 3 + x * 3)
-31 + 5x = (12 + 3x)

Solving
-31 + 5x = 12 + 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.
-31 + 5x + -3x = 12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-31 + 2x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 2x = 12 + 0
-31 + 2x = 12

Add '31' to each side of the equation.
-31 + 31 + 2x = 12 + 31

Combine like terms: -31 + 31 = 0
0 + 2x = 12 + 31
2x = 12 + 31

Combine like terms: 12 + 31 = 43
2x = 43

Divide each side by '2'.
x = 21.5

Simplifying
x = 21.5

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