x(1)+(49-x)(10)=184

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Solution for x(1)+(49-x)(10)=184 equation:


Simplifying
x(1) + (49 + -1x)(10) = 184

Reorder the terms for easier multiplication:
1x + (49 + -1x)(10) = 184

Reorder the terms for easier multiplication:
1x + 10(49 + -1x) = 184
1x + (49 * 10 + -1x * 10) = 184
1x + (490 + -10x) = 184

Reorder the terms:
490 + 1x + -10x = 184

Combine like terms: 1x + -10x = -9x
490 + -9x = 184

Solving
490 + -9x = 184

Solving for variable 'x'.

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

Add '-490' to each side of the equation.
490 + -490 + -9x = 184 + -490

Combine like terms: 490 + -490 = 0
0 + -9x = 184 + -490
-9x = 184 + -490

Combine like terms: 184 + -490 = -306
-9x = -306

Divide each side by '-9'.
x = 34

Simplifying
x = 34

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