(5x-4)-(2x+5)=15

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Solution for (5x-4)-(2x+5)=15 equation:


Simplifying
(5x + -4) + -1(2x + 5) = 15

Reorder the terms:
(-4 + 5x) + -1(2x + 5) = 15

Remove parenthesis around (-4 + 5x)
-4 + 5x + -1(2x + 5) = 15

Reorder the terms:
-4 + 5x + -1(5 + 2x) = 15
-4 + 5x + (5 * -1 + 2x * -1) = 15
-4 + 5x + (-5 + -2x) = 15

Reorder the terms:
-4 + -5 + 5x + -2x = 15

Combine like terms: -4 + -5 = -9
-9 + 5x + -2x = 15

Combine like terms: 5x + -2x = 3x
-9 + 3x = 15

Solving
-9 + 3x = 15

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 15 + 9
3x = 15 + 9

Combine like terms: 15 + 9 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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