6.2(2x-3)=4.2(2x+3)

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Solution for 6.2(2x-3)=4.2(2x+3) equation:


Simplifying
6.2(2x + -3) = 4.2(2x + 3)

Reorder the terms:
6.2(-3 + 2x) = 4.2(2x + 3)
(-3 * 6.2 + 2x * 6.2) = 4.2(2x + 3)
(-18.6 + 12.4x) = 4.2(2x + 3)

Reorder the terms:
-18.6 + 12.4x = 4.2(3 + 2x)
-18.6 + 12.4x = (3 * 4.2 + 2x * 4.2)
-18.6 + 12.4x = (12.6 + 8.4x)

Solving
-18.6 + 12.4x = 12.6 + 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.
-18.6 + 12.4x + -8.4x = 12.6 + 8.4x + -8.4x

Combine like terms: 12.4x + -8.4x = 4x
-18.6 + 4x = 12.6 + 8.4x + -8.4x

Combine like terms: 8.4x + -8.4x = 0.0
-18.6 + 4x = 12.6 + 0.0
-18.6 + 4x = 12.6

Add '18.6' to each side of the equation.
-18.6 + 18.6 + 4x = 12.6 + 18.6

Combine like terms: -18.6 + 18.6 = 0.0
0.0 + 4x = 12.6 + 18.6
4x = 12.6 + 18.6

Combine like terms: 12.6 + 18.6 = 31.2
4x = 31.2

Divide each side by '4'.
x = 7.8

Simplifying
x = 7.8

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