.4x-.7=.3x+7

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Solution for .4x-.7=.3x+7 equation: 


Simplifying
0.4x + -0.7 = 0.3x + 7

Reorder the terms:
-0.7 + 0.4x = 0.3x + 7

Reorder the terms:
-0.7 + 0.4x = 7 + 0.3x

Solving
-0.7 + 0.4x = 7 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-0.7 + 0.4x + -0.3x = 7 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
-0.7 + 0.1x = 7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.7 + 0.1x = 7 + 0.0
-0.7 + 0.1x = 7

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.1x = 7 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.1x = 7 + 0.7
0.1x = 7 + 0.7

Combine like terms: 7 + 0.7 = 7.7
0.1x = 7.7

Divide each side by '0.1'.
x = 77

Simplifying
x = 77

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