x+5.9x+5.8=6.4(x-0.5)

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Solution for x+5.9x+5.8=6.4(x-0.5) equation: 


Simplifying
x + 5.9x + 5.8 = 6.4(x + -0.5)

Reorder the terms:
5.8 + x + 5.9x = 6.4(x + -0.5)

Combine like terms: x + 5.9x = 6.9x
5.8 + 6.9x = 6.4(x + -0.5)

Reorder the terms:
5.8 + 6.9x = 6.4(-0.5 + x)
5.8 + 6.9x = (-0.5 * 6.4 + x * 6.4)
5.8 + 6.9x = (-3.2 + 6.4x)

Solving
5.8 + 6.9x = -3.2 + 6.4x

Solving for variable 'x'.

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

Add '-6.4x' to each side of the equation.
5.8 + 6.9x + -6.4x = -3.2 + 6.4x + -6.4x

Combine like terms: 6.9x + -6.4x = 0.5x
5.8 + 0.5x = -3.2 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
5.8 + 0.5x = -3.2 + 0.0
5.8 + 0.5x = -3.2

Add '-5.8' to each side of the equation.
5.8 + -5.8 + 0.5x = -3.2 + -5.8

Combine like terms: 5.8 + -5.8 = 0.0
0.0 + 0.5x = -3.2 + -5.8
0.5x = -3.2 + -5.8

Combine like terms: -3.2 + -5.8 = -9
0.5x = -9

Divide each side by '0.5'.
x = -18

Simplifying
x = -18

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