19.82(-24x+67)=138.74(8x+53)

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Solution for 19.82(-24x+67)=138.74(8x+53) equation:


Simplifying
19.82(-24x + 67) = 138.74(8x + 53)

Reorder the terms:
19.82(67 + -24x) = 138.74(8x + 53)
(67 * 19.82 + -24x * 19.82) = 138.74(8x + 53)
(1327.94 + -475.68x) = 138.74(8x + 53)

Reorder the terms:
1327.94 + -475.68x = 138.74(53 + 8x)
1327.94 + -475.68x = (53 * 138.74 + 8x * 138.74)
1327.94 + -475.68x = (7353.22 + 1109.92x)

Solving
1327.94 + -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.
1327.94 + -475.68x + -1109.92x = 7353.22 + 1109.92x + -1109.92x

Combine like terms: -475.68x + -1109.92x = -1585.6x
1327.94 + -1585.6x = 7353.22 + 1109.92x + -1109.92x

Combine like terms: 1109.92x + -1109.92x = 0.00
1327.94 + -1585.6x = 7353.22 + 0.00
1327.94 + -1585.6x = 7353.22

Add '-1327.94' to each side of the equation.
1327.94 + -1327.94 + -1585.6x = 7353.22 + -1327.94

Combine like terms: 1327.94 + -1327.94 = 0.00
0.00 + -1585.6x = 7353.22 + -1327.94
-1585.6x = 7353.22 + -1327.94

Combine like terms: 7353.22 + -1327.94 = 6025.28
-1585.6x = 6025.28

Divide each side by '-1585.6'.
x = -3.8

Simplifying
x = -3.8

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