x-6.4x-1.7=-1.4(x-4.5)

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Solution for x-6.4x-1.7=-1.4(x-4.5) equation: 


Simplifying
x + -6.4x + -1.7 = -1.4(x + -4.5)

Reorder the terms:
-1.7 + x + -6.4x = -1.4(x + -4.5)

Combine like terms: x + -6.4x = -5.4x
-1.7 + -5.4x = -1.4(x + -4.5)

Reorder the terms:
-1.7 + -5.4x = -1.4(-4.5 + x)
-1.7 + -5.4x = (-4.5 * -1.4 + x * -1.4)
-1.7 + -5.4x = (6.3 + -1.4x)

Solving
-1.7 + -5.4x = 6.3 + -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.
-1.7 + -5.4x + 1.4x = 6.3 + -1.4x + 1.4x

Combine like terms: -5.4x + 1.4x = -4x
-1.7 + -4x = 6.3 + -1.4x + 1.4x

Combine like terms: -1.4x + 1.4x = 0.0
-1.7 + -4x = 6.3 + 0.0
-1.7 + -4x = 6.3

Add '1.7' to each side of the equation.
-1.7 + 1.7 + -4x = 6.3 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0
0.0 + -4x = 6.3 + 1.7
-4x = 6.3 + 1.7

Combine like terms: 6.3 + 1.7 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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