3x-5.2=-0.2(x-6)

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Solution for 3x-5.2=-0.2(x-6) equation:


Simplifying
3x + -5.2 = -0.2(x + -6)

Reorder the terms:
-5.2 + 3x = -0.2(x + -6)

Reorder the terms:
-5.2 + 3x = -0.2(-6 + x)
-5.2 + 3x = (-6 * -0.2 + x * -0.2)
-5.2 + 3x = (1.2 + -0.2x)

Solving
-5.2 + 3x = 1.2 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-5.2 + 3x + 0.2x = 1.2 + -0.2x + 0.2x

Combine like terms: 3x + 0.2x = 3.2x
-5.2 + 3.2x = 1.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-5.2 + 3.2x = 1.2 + 0.0
-5.2 + 3.2x = 1.2

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 3.2x = 1.2 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 3.2x = 1.2 + 5.2
3.2x = 1.2 + 5.2

Combine like terms: 1.2 + 5.2 = 6.4
3.2x = 6.4

Divide each side by '3.2'.
x = 2

Simplifying
x = 2

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