0.8-0.5(6-2x)=-0.6(x-7)

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Solution for 0.8-0.5(6-2x)=-0.6(x-7) equation: 


Simplifying
0.8 + -0.5(6 + -2x) = -0.6(x + -7)
0.8 + (6 * -0.5 + -2x * -0.5) = -0.6(x + -7)
0.8 + (-3 + 1x) = -0.6(x + -7)

Combine like terms: 0.8 + -3 = -2.2
-2.2 + 1x = -0.6(x + -7)

Reorder the terms:
-2.2 + 1x = -0.6(-7 + x)
-2.2 + 1x = (-7 * -0.6 + x * -0.6)
-2.2 + 1x = (4.2 + -0.6x)

Solving
-2.2 + 1x = 4.2 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-2.2 + 1x + 0.6x = 4.2 + -0.6x + 0.6x

Combine like terms: 1x + 0.6x = 1.6x
-2.2 + 1.6x = 4.2 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-2.2 + 1.6x = 4.2 + 0.0
-2.2 + 1.6x = 4.2

Add '2.2' to each side of the equation.
-2.2 + 2.2 + 1.6x = 4.2 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + 1.6x = 4.2 + 2.2
1.6x = 4.2 + 2.2

Combine like terms: 4.2 + 2.2 = 6.4
1.6x = 6.4

Divide each side by '1.6'.
x = 4

Simplifying
x = 4

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