.2x-.3=.7x-2.1

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Solution for .2x-.3=.7x-2.1 equation:


Simplifying
0.2x + -0.3 = 0.7x + -2.1

Reorder the terms:
-0.3 + 0.2x = 0.7x + -2.1

Reorder the terms:
-0.3 + 0.2x = -2.1 + 0.7x

Solving
-0.3 + 0.2x = -2.1 + 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.
-0.3 + 0.2x + -0.7x = -2.1 + 0.7x + -0.7x

Combine like terms: 0.2x + -0.7x = -0.5x
-0.3 + -0.5x = -2.1 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
-0.3 + -0.5x = -2.1 + 0.0
-0.3 + -0.5x = -2.1

Add '0.3' to each side of the equation.
-0.3 + 0.3 + -0.5x = -2.1 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + -0.5x = -2.1 + 0.3
-0.5x = -2.1 + 0.3

Combine like terms: -2.1 + 0.3 = -1.8
-0.5x = -1.8

Divide each side by '-0.5'.
x = 3.6

Simplifying
x = 3.6

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