8.4x-3.2=4.1(3.4-2.1x)

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Solution for 8.4x-3.2=4.1(3.4-2.1x) equation:


Simplifying
8.4x + -3.2 = 4.1(3.4 + -2.1x)

Reorder the terms:
-3.2 + 8.4x = 4.1(3.4 + -2.1x)
-3.2 + 8.4x = (3.4 * 4.1 + -2.1x * 4.1)
-3.2 + 8.4x = (13.94 + -8.61x)

Solving
-3.2 + 8.4x = 13.94 + -8.61x

Solving for variable 'x'.

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

Add '8.61x' to each side of the equation.
-3.2 + 8.4x + 8.61x = 13.94 + -8.61x + 8.61x

Combine like terms: 8.4x + 8.61x = 17.01x
-3.2 + 17.01x = 13.94 + -8.61x + 8.61x

Combine like terms: -8.61x + 8.61x = 0.00
-3.2 + 17.01x = 13.94 + 0.00
-3.2 + 17.01x = 13.94

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 17.01x = 13.94 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 17.01x = 13.94 + 3.2
17.01x = 13.94 + 3.2

Combine like terms: 13.94 + 3.2 = 17.14
17.01x = 17.14

Divide each side by '17.01'.
x = 1.007642563

Simplifying
x = 1.007642563

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