(18x-15)=(13x-11)+(4x+1)

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Solution for (18x-15)=(13x-11)+(4x+1) equation:


Simplifying
(18x + -15) = (13x + -11) + (4x + 1)

Reorder the terms:
(-15 + 18x) = (13x + -11) + (4x + 1)

Remove parenthesis around (-15 + 18x)
-15 + 18x = (13x + -11) + (4x + 1)

Reorder the terms:
-15 + 18x = (-11 + 13x) + (4x + 1)

Remove parenthesis around (-11 + 13x)
-15 + 18x = -11 + 13x + (4x + 1)

Reorder the terms:
-15 + 18x = -11 + 13x + (1 + 4x)

Remove parenthesis around (1 + 4x)
-15 + 18x = -11 + 13x + 1 + 4x

Reorder the terms:
-15 + 18x = -11 + 1 + 13x + 4x

Combine like terms: -11 + 1 = -10
-15 + 18x = -10 + 13x + 4x

Combine like terms: 13x + 4x = 17x
-15 + 18x = -10 + 17x

Solving
-15 + 18x = -10 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-15 + 18x + -17x = -10 + 17x + -17x

Combine like terms: 18x + -17x = 1x
-15 + 1x = -10 + 17x + -17x

Combine like terms: 17x + -17x = 0
-15 + 1x = -10 + 0
-15 + 1x = -10

Add '15' to each side of the equation.
-15 + 15 + 1x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -10 + 15
1x = -10 + 15

Combine like terms: -10 + 15 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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