6.3(3x-2)=8.4(x+4)

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Solution for 6.3(3x-2)=8.4(x+4) equation:


Simplifying
6.3(3x + -2) = 8.4(x + 4)

Reorder the terms:
6.3(-2 + 3x) = 8.4(x + 4)
(-2 * 6.3 + 3x * 6.3) = 8.4(x + 4)
(-12.6 + 18.9x) = 8.4(x + 4)

Reorder the terms:
-12.6 + 18.9x = 8.4(4 + x)
-12.6 + 18.9x = (4 * 8.4 + x * 8.4)
-12.6 + 18.9x = (33.6 + 8.4x)

Solving
-12.6 + 18.9x = 33.6 + 8.4x

Solving for variable 'x'.

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

Add '-8.4x' to each side of the equation.
-12.6 + 18.9x + -8.4x = 33.6 + 8.4x + -8.4x

Combine like terms: 18.9x + -8.4x = 10.5x
-12.6 + 10.5x = 33.6 + 8.4x + -8.4x

Combine like terms: 8.4x + -8.4x = 0.0
-12.6 + 10.5x = 33.6 + 0.0
-12.6 + 10.5x = 33.6

Add '12.6' to each side of the equation.
-12.6 + 12.6 + 10.5x = 33.6 + 12.6

Combine like terms: -12.6 + 12.6 = 0.0
0.0 + 10.5x = 33.6 + 12.6
10.5x = 33.6 + 12.6

Combine like terms: 33.6 + 12.6 = 46.2
10.5x = 46.2

Divide each side by '10.5'.
x = 4.4

Simplifying
x = 4.4

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