0.6(4-x)-5(0.2x+0.34)+5.7=0

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Solution for 0.6(4-x)-5(0.2x+0.34)+5.7=0 equation:


Simplifying
0.6(4 + -1x) + -5(0.2x + 0.34) + 5.7 = 0
(4 * 0.6 + -1x * 0.6) + -5(0.2x + 0.34) + 5.7 = 0
(2.4 + -0.6x) + -5(0.2x + 0.34) + 5.7 = 0

Reorder the terms:
2.4 + -0.6x + -5(0.34 + 0.2x) + 5.7 = 0
2.4 + -0.6x + (0.34 * -5 + 0.2x * -5) + 5.7 = 0
2.4 + -0.6x + (-1.7 + -1x) + 5.7 = 0

Reorder the terms:
2.4 + -1.7 + 5.7 + -0.6x + -1x = 0

Combine like terms: 2.4 + -1.7 = 0.7
0.7 + 5.7 + -0.6x + -1x = 0

Combine like terms: 0.7 + 5.7 = 6.4
6.4 + -0.6x + -1x = 0

Combine like terms: -0.6x + -1x = -1.6x
6.4 + -1.6x = 0

Solving
6.4 + -1.6x = 0

Solving for variable 'x'.

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

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -1.6x = 0 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -1.6x = 0 + -6.4
-1.6x = 0 + -6.4

Combine like terms: 0 + -6.4 = -6.4
-1.6x = -6.4

Divide each side by '-1.6'.
x = 4

Simplifying
x = 4

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