-0.4(x-5)=1.2x+6.3

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Solution for -0.4(x-5)=1.2x+6.3 equation: 


Simplifying
-0.4(x + -5) = 1.2x + 6.3

Reorder the terms:
-0.4(-5 + x) = 1.2x + 6.3
(-5 * -0.4 + x * -0.4) = 1.2x + 6.3
(2 + -0.4x) = 1.2x + 6.3

Reorder the terms:
2 + -0.4x = 6.3 + 1.2x

Solving
2 + -0.4x = 6.3 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
2 + -0.4x + -1.2x = 6.3 + 1.2x + -1.2x

Combine like terms: -0.4x + -1.2x = -1.6x
2 + -1.6x = 6.3 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
2 + -1.6x = 6.3 + 0.0
2 + -1.6x = 6.3

Add '-2' to each side of the equation.
2 + -2 + -1.6x = 6.3 + -2

Combine like terms: 2 + -2 = 0
0 + -1.6x = 6.3 + -2
-1.6x = 6.3 + -2

Combine like terms: 6.3 + -2 = 4.3
-1.6x = 4.3

Divide each side by '-1.6'.
x = -2.6875

Simplifying
x = -2.6875

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