.3x-1.3=.5x-7

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Solution for .3x-1.3=.5x-7 equation:


Simplifying
0.3x + -1.3 = 0.5x + -7

Reorder the terms:
-1.3 + 0.3x = 0.5x + -7

Reorder the terms:
-1.3 + 0.3x = -7 + 0.5x

Solving
-1.3 + 0.3x = -7 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.3 + 0.3x + -0.5x = -7 + 0.5x + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
-1.3 + -0.2x = -7 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.3 + -0.2x = -7 + 0.0
-1.3 + -0.2x = -7

Add '1.3' to each side of the equation.
-1.3 + 1.3 + -0.2x = -7 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + -0.2x = -7 + 1.3
-0.2x = -7 + 1.3

Combine like terms: -7 + 1.3 = -5.7
-0.2x = -5.7

Divide each side by '-0.2'.
x = 28.5

Simplifying
x = 28.5

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