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

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


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

Reorder the terms:
(-1 + 2x)(3 + 2) = x + 292

Combine like terms: 3 + 2 = 5
(-1 + 2x)(5) = x + 292

Reorder the terms for easier multiplication:
5(-1 + 2x) = x + 292
(-1 * 5 + 2x * 5) = x + 292
(-5 + 10x) = x + 292

Reorder the terms:
-5 + 10x = 292 + x

Solving
-5 + 10x = 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.
-5 + 10x + -1x = 292 + x + -1x

Combine like terms: 10x + -1x = 9x
-5 + 9x = 292 + x + -1x

Combine like terms: x + -1x = 0
-5 + 9x = 292 + 0
-5 + 9x = 292

Add '5' to each side of the equation.
-5 + 5 + 9x = 292 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 292 + 5
9x = 292 + 5

Combine like terms: 292 + 5 = 297
9x = 297

Divide each side by '9'.
x = 33

Simplifying
x = 33

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