0.5x-0.7(8-5x)=0.6(x-6)

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Solution for 0.5x-0.7(8-5x)=0.6(x-6) equation:


Simplifying
0.5x + -0.7(8 + -5x) = 0.6(x + -6)
0.5x + (8 * -0.7 + -5x * -0.7) = 0.6(x + -6)
0.5x + (-5.6 + 3.5x) = 0.6(x + -6)

Reorder the terms:
-5.6 + 0.5x + 3.5x = 0.6(x + -6)

Combine like terms: 0.5x + 3.5x = 4x
-5.6 + 4x = 0.6(x + -6)

Reorder the terms:
-5.6 + 4x = 0.6(-6 + x)
-5.6 + 4x = (-6 * 0.6 + x * 0.6)
-5.6 + 4x = (-3.6 + 0.6x)

Solving
-5.6 + 4x = -3.6 + 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.
-5.6 + 4x + -0.6x = -3.6 + 0.6x + -0.6x

Combine like terms: 4x + -0.6x = 3.4x
-5.6 + 3.4x = -3.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-5.6 + 3.4x = -3.6 + 0.0
-5.6 + 3.4x = -3.6

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 3.4x = -3.6 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 3.4x = -3.6 + 5.6
3.4x = -3.6 + 5.6

Combine like terms: -3.6 + 5.6 = 2
3.4x = 2

Divide each side by '3.4'.
x = 0.5882352941

Simplifying
x = 0.5882352941

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