0.4(4-6x)=6-(2x+1)

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Solution for 0.4(4-6x)=6-(2x+1) equation:


Simplifying
0.4(4 + -6x) = 6 + -1(2x + 1)
(4 * 0.4 + -6x * 0.4) = 6 + -1(2x + 1)
(1.6 + -2.4x) = 6 + -1(2x + 1)

Reorder the terms:
1.6 + -2.4x = 6 + -1(1 + 2x)
1.6 + -2.4x = 6 + (1 * -1 + 2x * -1)
1.6 + -2.4x = 6 + (-1 + -2x)

Combine like terms: 6 + -1 = 5
1.6 + -2.4x = 5 + -2x

Solving
1.6 + -2.4x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1.6 + -2.4x + 2x = 5 + -2x + 2x

Combine like terms: -2.4x + 2x = -0.4x
1.6 + -0.4x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
1.6 + -0.4x = 5 + 0
1.6 + -0.4x = 5

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.4x = 5 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.4x = 5 + -1.6
-0.4x = 5 + -1.6

Combine like terms: 5 + -1.6 = 3.4
-0.4x = 3.4

Divide each side by '-0.4'.
x = -8.5

Simplifying
x = -8.5

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