.3x+1.4=4.2-.1x

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Solution for .3x+1.4=4.2-.1x equation: 


Simplifying
0.3x + 1.4 = 4.2 + -0.1x

Reorder the terms:
1.4 + 0.3x = 4.2 + -0.1x

Solving
1.4 + 0.3x = 4.2 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
1.4 + 0.3x + 0.1x = 4.2 + -0.1x + 0.1x

Combine like terms: 0.3x + 0.1x = 0.4x
1.4 + 0.4x = 4.2 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
1.4 + 0.4x = 4.2 + 0.0
1.4 + 0.4x = 4.2

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 0.4x = 4.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.4x = 4.2 + -1.4
0.4x = 4.2 + -1.4

Combine like terms: 4.2 + -1.4 = 2.8
0.4x = 2.8

Divide each side by '0.4'.
x = 7

Simplifying
x = 7

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