6(x-18)+a=24(x-2)

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Solution for 6(x-18)+a=24(x-2) equation:


Simplifying
6(x + -18) + a = 24(x + -2)

Reorder the terms:
6(-18 + x) + a = 24(x + -2)
(-18 * 6 + x * 6) + a = 24(x + -2)
(-108 + 6x) + a = 24(x + -2)

Reorder the terms:
-108 + a + 6x = 24(x + -2)

Reorder the terms:
-108 + a + 6x = 24(-2 + x)
-108 + a + 6x = (-2 * 24 + x * 24)
-108 + a + 6x = (-48 + 24x)

Solving
-108 + a + 6x = -48 + 24x

Solving for variable 'a'.

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

Add '108' to each side of the equation.
-108 + a + 108 + 6x = -48 + 108 + 24x

Reorder the terms:
-108 + 108 + a + 6x = -48 + 108 + 24x

Combine like terms: -108 + 108 = 0
0 + a + 6x = -48 + 108 + 24x
a + 6x = -48 + 108 + 24x

Combine like terms: -48 + 108 = 60
a + 6x = 60 + 24x

Add '-6x' to each side of the equation.
a + 6x + -6x = 60 + 24x + -6x

Combine like terms: 6x + -6x = 0
a + 0 = 60 + 24x + -6x
a = 60 + 24x + -6x

Combine like terms: 24x + -6x = 18x
a = 60 + 18x

Simplifying
a = 60 + 18x

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