-5.09(x-0.5)=-27.309+1.4x

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Solution for -5.09(x-0.5)=-27.309+1.4x equation: 


Simplifying
-5.09(x + -0.5) = -27.309 + 1.4x

Reorder the terms:
-5.09(-0.5 + x) = -27.309 + 1.4x
(-0.5 * -5.09 + x * -5.09) = -27.309 + 1.4x
(2.545 + -5.09x) = -27.309 + 1.4x

Solving
2.545 + -5.09x = -27.309 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
2.545 + -5.09x + -1.4x = -27.309 + 1.4x + -1.4x

Combine like terms: -5.09x + -1.4x = -6.49x
2.545 + -6.49x = -27.309 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
2.545 + -6.49x = -27.309 + 0.0
2.545 + -6.49x = -27.309

Add '-2.545' to each side of the equation.
2.545 + -2.545 + -6.49x = -27.309 + -2.545

Combine like terms: 2.545 + -2.545 = 0.000
0.000 + -6.49x = -27.309 + -2.545
-6.49x = -27.309 + -2.545

Combine like terms: -27.309 + -2.545 = -29.854
-6.49x = -29.854

Divide each side by '-6.49'.
x = 4.6

Simplifying
x = 4.6

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