0.60(x-300)+0.5x=0.70x-205

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Solution for 0.60(x-300)+0.5x=0.70x-205 equation: 


Simplifying
0.60(x + -300) + 0.5x = 0.70x + -205

Reorder the terms:
0.60(-300 + x) + 0.5x = 0.70x + -205
(-300 * 0.60 + x * 0.60) + 0.5x = 0.70x + -205
(-180 + 0.60x) + 0.5x = 0.70x + -205

Combine like terms: 0.60x + 0.5x = 1.1x
-180 + 1.1x = 0.70x + -205

Reorder the terms:
-180 + 1.1x = -205 + 0.70x

Solving
-180 + 1.1x = -205 + 0.70x

Solving for variable 'x'.

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

Add '-0.70x' to each side of the equation.
-180 + 1.1x + -0.70x = -205 + 0.70x + -0.70x

Combine like terms: 1.1x + -0.70x = 0.4x
-180 + 0.4x = -205 + 0.70x + -0.70x

Combine like terms: 0.70x + -0.70x = 0.00
-180 + 0.4x = -205 + 0.00
-180 + 0.4x = -205

Add '180' to each side of the equation.
-180 + 180 + 0.4x = -205 + 180

Combine like terms: -180 + 180 = 0
0 + 0.4x = -205 + 180
0.4x = -205 + 180

Combine like terms: -205 + 180 = -25
0.4x = -25

Divide each side by '0.4'.
x = -62.5

Simplifying
x = -62.5

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