(5x-15)-(4x+8)=2

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Solution for (5x-15)-(4x+8)=2 equation:


Simplifying
(5x + -15) + -1(4x + 8) = 2

Reorder the terms:
(-15 + 5x) + -1(4x + 8) = 2

Remove parenthesis around (-15 + 5x)
-15 + 5x + -1(4x + 8) = 2

Reorder the terms:
-15 + 5x + -1(8 + 4x) = 2
-15 + 5x + (8 * -1 + 4x * -1) = 2
-15 + 5x + (-8 + -4x) = 2

Reorder the terms:
-15 + -8 + 5x + -4x = 2

Combine like terms: -15 + -8 = -23
-23 + 5x + -4x = 2

Combine like terms: 5x + -4x = 1x
-23 + 1x = 2

Solving
-23 + 1x = 2

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 1x = 2 + 23

Combine like terms: -23 + 23 = 0
0 + 1x = 2 + 23
1x = 2 + 23

Combine like terms: 2 + 23 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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