0.6(x-300)+0.05x=0.7x-205

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Solution for 0.6(x-300)+0.05x=0.7x-205 equation:


Simplifying
0.6(x + -300) + 0.05x = 0.7x + -205

Reorder the terms:
0.6(-300 + x) + 0.05x = 0.7x + -205
(-300 * 0.6 + x * 0.6) + 0.05x = 0.7x + -205
(-180 + 0.6x) + 0.05x = 0.7x + -205

Combine like terms: 0.6x + 0.05x = 0.65x
-180 + 0.65x = 0.7x + -205

Reorder the terms:
-180 + 0.65x = -205 + 0.7x

Solving
-180 + 0.65x = -205 + 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.
-180 + 0.65x + -0.7x = -205 + 0.7x + -0.7x

Combine like terms: 0.65x + -0.7x = -0.05x
-180 + -0.05x = -205 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
-180 + -0.05x = -205 + 0.0
-180 + -0.05x = -205

Add '180' to each side of the equation.
-180 + 180 + -0.05x = -205 + 180

Combine like terms: -180 + 180 = 0
0 + -0.05x = -205 + 180
-0.05x = -205 + 180

Combine like terms: -205 + 180 = -25
-0.05x = -25

Divide each side by '-0.05'.
x = 500

Simplifying
x = 500

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