.4x+.1=.7x-.5

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Solution for .4x+.1=.7x-.5 equation:


Simplifying
0.4x + 0.1 = 0.7x + -0.5

Reorder the terms:
0.1 + 0.4x = 0.7x + -0.5

Reorder the terms:
0.1 + 0.4x = -0.5 + 0.7x

Solving
0.1 + 0.4x = -0.5 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
0.1 + 0.4x + -0.7x = -0.5 + 0.7x + -0.7x

Combine like terms: 0.4x + -0.7x = -0.3x
0.1 + -0.3x = -0.5 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
0.1 + -0.3x = -0.5 + 0.0
0.1 + -0.3x = -0.5

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.3x = -0.5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.3x = -0.5 + -0.1
-0.3x = -0.5 + -0.1

Combine like terms: -0.5 + -0.1 = -0.6
-0.3x = -0.6

Divide each side by '-0.3'.
x = 2

Simplifying
x = 2

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