8(x+18)=5(x+78)

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Solution for 8(x+18)=5(x+78) equation:


Simplifying
8(x + 18) = 5(x + 78)

Reorder the terms:
8(18 + x) = 5(x + 78)
(18 * 8 + x * 8) = 5(x + 78)
(144 + 8x) = 5(x + 78)

Reorder the terms:
144 + 8x = 5(78 + x)
144 + 8x = (78 * 5 + x * 5)
144 + 8x = (390 + 5x)

Solving
144 + 8x = 390 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
144 + 8x + -5x = 390 + 5x + -5x

Combine like terms: 8x + -5x = 3x
144 + 3x = 390 + 5x + -5x

Combine like terms: 5x + -5x = 0
144 + 3x = 390 + 0
144 + 3x = 390

Add '-144' to each side of the equation.
144 + -144 + 3x = 390 + -144

Combine like terms: 144 + -144 = 0
0 + 3x = 390 + -144
3x = 390 + -144

Combine like terms: 390 + -144 = 246
3x = 246

Divide each side by '3'.
x = 82

Simplifying
x = 82

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