3.25x-6.7=-4.2(3.6x-4.2)

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Solution for 3.25x-6.7=-4.2(3.6x-4.2) equation: 


Simplifying
3.25x + -6.7 = -4.2(3.6x + -4.2)

Reorder the terms:
-6.7 + 3.25x = -4.2(3.6x + -4.2)

Reorder the terms:
-6.7 + 3.25x = -4.2(-4.2 + 3.6x)
-6.7 + 3.25x = (-4.2 * -4.2 + 3.6x * -4.2)
-6.7 + 3.25x = (17.64 + -15.12x)

Solving
-6.7 + 3.25x = 17.64 + -15.12x

Solving for variable 'x'.

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

Add '15.12x' to each side of the equation.
-6.7 + 3.25x + 15.12x = 17.64 + -15.12x + 15.12x

Combine like terms: 3.25x + 15.12x = 18.37x
-6.7 + 18.37x = 17.64 + -15.12x + 15.12x

Combine like terms: -15.12x + 15.12x = 0.00
-6.7 + 18.37x = 17.64 + 0.00
-6.7 + 18.37x = 17.64

Add '6.7' to each side of the equation.
-6.7 + 6.7 + 18.37x = 17.64 + 6.7

Combine like terms: -6.7 + 6.7 = 0.0
0.0 + 18.37x = 17.64 + 6.7
18.37x = 17.64 + 6.7

Combine like terms: 17.64 + 6.7 = 24.34
18.37x = 24.34

Divide each side by '18.37'.
x = 1.324986391

Simplifying
x = 1.324986391

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