(7x+18)-(8x-247)=17

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Solution for (7x+18)-(8x-247)=17 equation:


Simplifying
(7x + 18) + -1(8x + -247) = 17

Reorder the terms:
(18 + 7x) + -1(8x + -247) = 17

Remove parenthesis around (18 + 7x)
18 + 7x + -1(8x + -247) = 17

Reorder the terms:
18 + 7x + -1(-247 + 8x) = 17
18 + 7x + (-247 * -1 + 8x * -1) = 17
18 + 7x + (247 + -8x) = 17

Reorder the terms:
18 + 247 + 7x + -8x = 17

Combine like terms: 18 + 247 = 265
265 + 7x + -8x = 17

Combine like terms: 7x + -8x = -1x
265 + -1x = 17

Solving
265 + -1x = 17

Solving for variable 'x'.

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

Add '-265' to each side of the equation.
265 + -265 + -1x = 17 + -265

Combine like terms: 265 + -265 = 0
0 + -1x = 17 + -265
-1x = 17 + -265

Combine like terms: 17 + -265 = -248
-1x = -248

Divide each side by '-1'.
x = 248

Simplifying
x = 248

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