5x+21(11-4x)=82+x

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Solution for 5x+21(11-4x)=82+x equation:


Simplifying
5x + 21(11 + -4x) = 82 + x
5x + (11 * 21 + -4x * 21) = 82 + x
5x + (231 + -84x) = 82 + x

Reorder the terms:
231 + 5x + -84x = 82 + x

Combine like terms: 5x + -84x = -79x
231 + -79x = 82 + x

Solving
231 + -79x = 82 + 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.
231 + -79x + -1x = 82 + x + -1x

Combine like terms: -79x + -1x = -80x
231 + -80x = 82 + x + -1x

Combine like terms: x + -1x = 0
231 + -80x = 82 + 0
231 + -80x = 82

Add '-231' to each side of the equation.
231 + -231 + -80x = 82 + -231

Combine like terms: 231 + -231 = 0
0 + -80x = 82 + -231
-80x = 82 + -231

Combine like terms: 82 + -231 = -149
-80x = -149

Divide each side by '-80'.
x = 1.8625

Simplifying
x = 1.8625

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