0.6-1.6*(x-4)=3*(7-0.4x)

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Solution for 0.6-1.6*(x-4)=3*(7-0.4x) equation:


Simplifying
0.6 + -1.6(x + -4) = 3(7 + -0.4x)

Reorder the terms:
0.6 + -1.6(-4 + x) = 3(7 + -0.4x)
0.6 + (-4 * -1.6 + x * -1.6) = 3(7 + -0.4x)
0.6 + (6.4 + -1.6x) = 3(7 + -0.4x)

Combine like terms: 0.6 + 6.4 = 7
7 + -1.6x = 3(7 + -0.4x)
7 + -1.6x = (7 * 3 + -0.4x * 3)
7 + -1.6x = (21 + -1.2x)

Solving
7 + -1.6x = 21 + -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.
7 + -1.6x + 1.2x = 21 + -1.2x + 1.2x

Combine like terms: -1.6x + 1.2x = -0.4x
7 + -0.4x = 21 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
7 + -0.4x = 21 + 0.0
7 + -0.4x = 21

Add '-7' to each side of the equation.
7 + -7 + -0.4x = 21 + -7

Combine like terms: 7 + -7 = 0
0 + -0.4x = 21 + -7
-0.4x = 21 + -7

Combine like terms: 21 + -7 = 14
-0.4x = 14

Divide each side by '-0.4'.
x = -35

Simplifying
x = -35

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