0.6-0.8(10-5x)=0.3(x-6)

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Solution for 0.6-0.8(10-5x)=0.3(x-6) equation:


Simplifying
0.6 + -0.8(10 + -5x) = 0.3(x + -6)
0.6 + (10 * -0.8 + -5x * -0.8) = 0.3(x + -6)
0.6 + (-8 + 4x) = 0.3(x + -6)

Combine like terms: 0.6 + -8 = -7.4
-7.4 + 4x = 0.3(x + -6)

Reorder the terms:
-7.4 + 4x = 0.3(-6 + x)
-7.4 + 4x = (-6 * 0.3 + x * 0.3)
-7.4 + 4x = (-1.8 + 0.3x)

Solving
-7.4 + 4x = -1.8 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-7.4 + 4x + -0.3x = -1.8 + 0.3x + -0.3x

Combine like terms: 4x + -0.3x = 3.7x
-7.4 + 3.7x = -1.8 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-7.4 + 3.7x = -1.8 + 0.0
-7.4 + 3.7x = -1.8

Add '7.4' to each side of the equation.
-7.4 + 7.4 + 3.7x = -1.8 + 7.4

Combine like terms: -7.4 + 7.4 = 0.0
0.0 + 3.7x = -1.8 + 7.4
3.7x = -1.8 + 7.4

Combine like terms: -1.8 + 7.4 = 5.6
3.7x = 5.6

Divide each side by '3.7'.
x = 1.513513514

Simplifying
x = 1.513513514

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