(2(7)-1)(3(7)+2)=x+292

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Solution for (2(7)-1)(3(7)+2)=x+292 equation:


Simplifying
(2(7) + -1)(3(7) + 2) = x + 292

Multiply 2 * 7
(14 + -1)(3(7) + 2) = x + 292

Combine like terms: 14 + -1 = 13
(13)(3(7) + 2) = x + 292

Multiply 3 * 7
13(21 + 2) = x + 292

Combine like terms: 21 + 2 = 23
13(23) = x + 292

Multiply 13 * 23
299 = x + 292

Reorder the terms:
299 = 292 + x

Solving
299 = 292 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
299 + -1x = 292 + x + -1x

Combine like terms: x + -1x = 0
299 + -1x = 292 + 0
299 + -1x = 292

Add '-299' to each side of the equation.
299 + -299 + -1x = 292 + -299

Combine like terms: 299 + -299 = 0
0 + -1x = 292 + -299
-1x = 292 + -299

Combine like terms: 292 + -299 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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