5(11-3x)+14(13-8x)=364

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Solution for 5(11-3x)+14(13-8x)=364 equation:


Simplifying
5(11 + -3x) + 14(13 + -8x) = 364
(11 * 5 + -3x * 5) + 14(13 + -8x) = 364
(55 + -15x) + 14(13 + -8x) = 364
55 + -15x + (13 * 14 + -8x * 14) = 364
55 + -15x + (182 + -112x) = 364

Reorder the terms:
55 + 182 + -15x + -112x = 364

Combine like terms: 55 + 182 = 237
237 + -15x + -112x = 364

Combine like terms: -15x + -112x = -127x
237 + -127x = 364

Solving
237 + -127x = 364

Solving for variable 'x'.

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

Add '-237' to each side of the equation.
237 + -237 + -127x = 364 + -237

Combine like terms: 237 + -237 = 0
0 + -127x = 364 + -237
-127x = 364 + -237

Combine like terms: 364 + -237 = 127
-127x = 127

Divide each side by '-127'.
x = -1

Simplifying
x = -1

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