2-0.4(x+3)=6.4-1.1x

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Solution for 2-0.4(x+3)=6.4-1.1x equation: 


Simplifying
2 + -0.4(x + 3) = 6.4 + -1.1x

Reorder the terms:
2 + -0.4(3 + x) = 6.4 + -1.1x
2 + (3 * -0.4 + x * -0.4) = 6.4 + -1.1x
2 + (-1.2 + -0.4x) = 6.4 + -1.1x

Combine like terms: 2 + -1.2 = 0.8
0.8 + -0.4x = 6.4 + -1.1x

Solving
0.8 + -0.4x = 6.4 + -1.1x

Solving for variable 'x'.

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

Add '1.1x' to each side of the equation.
0.8 + -0.4x + 1.1x = 6.4 + -1.1x + 1.1x

Combine like terms: -0.4x + 1.1x = 0.7x
0.8 + 0.7x = 6.4 + -1.1x + 1.1x

Combine like terms: -1.1x + 1.1x = 0.0
0.8 + 0.7x = 6.4 + 0.0
0.8 + 0.7x = 6.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.7x = 6.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7x = 6.4 + -0.8
0.7x = 6.4 + -0.8

Combine like terms: 6.4 + -0.8 = 5.6
0.7x = 5.6

Divide each side by '0.7'.
x = 8

Simplifying
x = 8

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