3.16(x+4.63)=419(x-7.24)

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Solution for 3.16(x+4.63)=419(x-7.24) equation:


Simplifying
3.16(x + 4.63) = 419(x + -7.24)

Reorder the terms:
3.16(4.63 + x) = 419(x + -7.24)
(4.63 * 3.16 + x * 3.16) = 419(x + -7.24)
(14.6308 + 3.16x) = 419(x + -7.24)

Reorder the terms:
14.6308 + 3.16x = 419(-7.24 + x)
14.6308 + 3.16x = (-7.24 * 419 + x * 419)
14.6308 + 3.16x = (-3033.56 + 419x)

Solving
14.6308 + 3.16x = -3033.56 + 419x

Solving for variable 'x'.

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

Add '-419x' to each side of the equation.
14.6308 + 3.16x + -419x = -3033.56 + 419x + -419x

Combine like terms: 3.16x + -419x = -415.84x
14.6308 + -415.84x = -3033.56 + 419x + -419x

Combine like terms: 419x + -419x = 0
14.6308 + -415.84x = -3033.56 + 0
14.6308 + -415.84x = -3033.56

Add '-14.6308' to each side of the equation.
14.6308 + -14.6308 + -415.84x = -3033.56 + -14.6308

Combine like terms: 14.6308 + -14.6308 = 0.0000
0.0000 + -415.84x = -3033.56 + -14.6308
-415.84x = -3033.56 + -14.6308

Combine like terms: -3033.56 + -14.6308 = -3048.1908
-415.84x = -3048.1908

Divide each side by '-415.84'.
x = 7.330201039

Simplifying
x = 7.330201039

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