23.6x+5.6-5x=8(6.3x-25)-(4.9-9.2x)

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Solution for 23.6x+5.6-5x=8(6.3x-25)-(4.9-9.2x) equation: 


Simplifying
23.6x + 5.6 + -5x = 8(6.3x + -25) + -1(4.9 + -9.2x)

Reorder the terms:
5.6 + 23.6x + -5x = 8(6.3x + -25) + -1(4.9 + -9.2x)

Combine like terms: 23.6x + -5x = 18.6x
5.6 + 18.6x = 8(6.3x + -25) + -1(4.9 + -9.2x)

Reorder the terms:
5.6 + 18.6x = 8(-25 + 6.3x) + -1(4.9 + -9.2x)
5.6 + 18.6x = (-25 * 8 + 6.3x * 8) + -1(4.9 + -9.2x)
5.6 + 18.6x = (-200 + 50.4x) + -1(4.9 + -9.2x)
5.6 + 18.6x = -200 + 50.4x + (4.9 * -1 + -9.2x * -1)
5.6 + 18.6x = -200 + 50.4x + (-4.9 + 9.2x)

Reorder the terms:
5.6 + 18.6x = -200 + -4.9 + 50.4x + 9.2x

Combine like terms: -200 + -4.9 = -204.9
5.6 + 18.6x = -204.9 + 50.4x + 9.2x

Combine like terms: 50.4x + 9.2x = 59.6x
5.6 + 18.6x = -204.9 + 59.6x

Solving
5.6 + 18.6x = -204.9 + 59.6x

Solving for variable 'x'.

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

Add '-59.6x' to each side of the equation.
5.6 + 18.6x + -59.6x = -204.9 + 59.6x + -59.6x

Combine like terms: 18.6x + -59.6x = -41x
5.6 + -41x = -204.9 + 59.6x + -59.6x

Combine like terms: 59.6x + -59.6x = 0.0
5.6 + -41x = -204.9 + 0.0
5.6 + -41x = -204.9

Add '-5.6' to each side of the equation.
5.6 + -5.6 + -41x = -204.9 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + -41x = -204.9 + -5.6
-41x = -204.9 + -5.6

Combine like terms: -204.9 + -5.6 = -210.5
-41x = -210.5

Divide each side by '-41'.
x = 5.134146341

Simplifying
x = 5.134146341

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