4.08(x+10)=9.2(x-2)

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Solution for 4.08(x+10)=9.2(x-2) equation: 


Simplifying
4.08(x + 10) = 9.2(x + -2)

Reorder the terms:
4.08(10 + x) = 9.2(x + -2)
(10 * 4.08 + x * 4.08) = 9.2(x + -2)
(40.8 + 4.08x) = 9.2(x + -2)

Reorder the terms:
40.8 + 4.08x = 9.2(-2 + x)
40.8 + 4.08x = (-2 * 9.2 + x * 9.2)
40.8 + 4.08x = (-18.4 + 9.2x)

Solving
40.8 + 4.08x = -18.4 + 9.2x

Solving for variable 'x'.

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

Add '-9.2x' to each side of the equation.
40.8 + 4.08x + -9.2x = -18.4 + 9.2x + -9.2x

Combine like terms: 4.08x + -9.2x = -5.12x
40.8 + -5.12x = -18.4 + 9.2x + -9.2x

Combine like terms: 9.2x + -9.2x = 0.0
40.8 + -5.12x = -18.4 + 0.0
40.8 + -5.12x = -18.4

Add '-40.8' to each side of the equation.
40.8 + -40.8 + -5.12x = -18.4 + -40.8

Combine like terms: 40.8 + -40.8 = 0.0
0.0 + -5.12x = -18.4 + -40.8
-5.12x = -18.4 + -40.8

Combine like terms: -18.4 + -40.8 = -59.2
-5.12x = -59.2

Divide each side by '-5.12'.
x = 11.5625

Simplifying
x = 11.5625

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