5(5x+115)=2(x+92)

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Solution for 5(5x+115)=2(x+92) equation:


Simplifying
5(5x + 115) = 2(x + 92)

Reorder the terms:
5(115 + 5x) = 2(x + 92)
(115 * 5 + 5x * 5) = 2(x + 92)
(575 + 25x) = 2(x + 92)

Reorder the terms:
575 + 25x = 2(92 + x)
575 + 25x = (92 * 2 + x * 2)
575 + 25x = (184 + 2x)

Solving
575 + 25x = 184 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
575 + 25x + -2x = 184 + 2x + -2x

Combine like terms: 25x + -2x = 23x
575 + 23x = 184 + 2x + -2x

Combine like terms: 2x + -2x = 0
575 + 23x = 184 + 0
575 + 23x = 184

Add '-575' to each side of the equation.
575 + -575 + 23x = 184 + -575

Combine like terms: 575 + -575 = 0
0 + 23x = 184 + -575
23x = 184 + -575

Combine like terms: 184 + -575 = -391
23x = -391

Divide each side by '23'.
x = -17

Simplifying
x = -17

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