(x)(1)+(x)(10)+(41-2x)(25)=284

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Solution for (x)(1)+(x)(10)+(41-2x)(25)=284 equation:


Simplifying
(x)(1) + (x)(10) + (41 + -2x)(25) = 284

Reorder the terms for easier multiplication:
1x + (x)(10) + (41 + -2x)(25) = 284

Reorder the terms for easier multiplication:
1x + 10x + (41 + -2x)(25) = 284

Reorder the terms for easier multiplication:
1x + 10x + 25(41 + -2x) = 284
1x + 10x + (41 * 25 + -2x * 25) = 284
1x + 10x + (1025 + -50x) = 284

Reorder the terms:
1025 + 1x + 10x + -50x = 284

Combine like terms: 1x + 10x = 11x
1025 + 11x + -50x = 284

Combine like terms: 11x + -50x = -39x
1025 + -39x = 284

Solving
1025 + -39x = 284

Solving for variable 'x'.

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

Add '-1025' to each side of the equation.
1025 + -1025 + -39x = 284 + -1025

Combine like terms: 1025 + -1025 = 0
0 + -39x = 284 + -1025
-39x = 284 + -1025

Combine like terms: 284 + -1025 = -741
-39x = -741

Divide each side by '-39'.
x = 19

Simplifying
x = 19

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