-4(.5x-.4)=1.3-.6(.3-.2x)

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Solution for -4(.5x-.4)=1.3-.6(.3-.2x) equation:


Simplifying
-4(0.5x + -0.4) = 1.3 + -0.6(0.3 + -0.2x)

Reorder the terms:
-4(-0.4 + 0.5x) = 1.3 + -0.6(0.3 + -0.2x)
(-0.4 * -4 + 0.5x * -4) = 1.3 + -0.6(0.3 + -0.2x)
(1.6 + -2x) = 1.3 + -0.6(0.3 + -0.2x)
1.6 + -2x = 1.3 + (0.3 * -0.6 + -0.2x * -0.6)
1.6 + -2x = 1.3 + (-0.18 + 0.12x)

Combine like terms: 1.3 + -0.18 = 1.12
1.6 + -2x = 1.12 + 0.12x

Solving
1.6 + -2x = 1.12 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
1.6 + -2x + -0.12x = 1.12 + 0.12x + -0.12x

Combine like terms: -2x + -0.12x = -2.12x
1.6 + -2.12x = 1.12 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
1.6 + -2.12x = 1.12 + 0.00
1.6 + -2.12x = 1.12

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -2.12x = 1.12 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -2.12x = 1.12 + -1.6
-2.12x = 1.12 + -1.6

Combine like terms: 1.12 + -1.6 = -0.48
-2.12x = -0.48

Divide each side by '-2.12'.
x = 0.2264150943

Simplifying
x = 0.2264150943

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