19.82(-24x+6)=138.74(8x+53)

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Solution for 19.82(-24x+6)=138.74(8x+53) equation:


Simplifying
19.82(-24x + 6) = 138.74(8x + 53)

Reorder the terms:
19.82(6 + -24x) = 138.74(8x + 53)
(6 * 19.82 + -24x * 19.82) = 138.74(8x + 53)
(118.92 + -475.68x) = 138.74(8x + 53)

Reorder the terms:
118.92 + -475.68x = 138.74(53 + 8x)
118.92 + -475.68x = (53 * 138.74 + 8x * 138.74)
118.92 + -475.68x = (7353.22 + 1109.92x)

Solving
118.92 + -475.68x = 7353.22 + 1109.92x

Solving for variable 'x'.

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

Add '-1109.92x' to each side of the equation.
118.92 + -475.68x + -1109.92x = 7353.22 + 1109.92x + -1109.92x

Combine like terms: -475.68x + -1109.92x = -1585.6x
118.92 + -1585.6x = 7353.22 + 1109.92x + -1109.92x

Combine like terms: 1109.92x + -1109.92x = 0.00
118.92 + -1585.6x = 7353.22 + 0.00
118.92 + -1585.6x = 7353.22

Add '-118.92' to each side of the equation.
118.92 + -118.92 + -1585.6x = 7353.22 + -118.92

Combine like terms: 118.92 + -118.92 = 0.00
0.00 + -1585.6x = 7353.22 + -118.92
-1585.6x = 7353.22 + -118.92

Combine like terms: 7353.22 + -118.92 = 7234.3
-1585.6x = 7234.3

Divide each side by '-1585.6'.
x = -4.5625

Simplifying
x = -4.5625

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