4.6=6.4-0.9x

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Solution for 4.6=6.4-0.9x equation: 


Simplifying
4.6 = 6.4 + -0.9x

Solving
4.6 = 6.4 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
4.6 + 0.9x = 6.4 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
4.6 + 0.9x = 6.4 + 0.0
4.6 + 0.9x = 6.4

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 0.9x = 6.4 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 0.9x = 6.4 + -4.6
0.9x = 6.4 + -4.6

Combine like terms: 6.4 + -4.6 = 1.8
0.9x = 1.8

Divide each side by '0.9'.
x = 2

Simplifying
x = 2

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