0.6(x+30)=0.65x-205

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Solution for 0.6(x+30)=0.65x-205 equation:


Simplifying
0.6(x + 30) = 0.65x + -205

Reorder the terms:
0.6(30 + x) = 0.65x + -205
(30 * 0.6 + x * 0.6) = 0.65x + -205
(18 + 0.6x) = 0.65x + -205

Reorder the terms:
18 + 0.6x = -205 + 0.65x

Solving
18 + 0.6x = -205 + 0.65x

Solving for variable 'x'.

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

Add '-0.65x' to each side of the equation.
18 + 0.6x + -0.65x = -205 + 0.65x + -0.65x

Combine like terms: 0.6x + -0.65x = -0.05x
18 + -0.05x = -205 + 0.65x + -0.65x

Combine like terms: 0.65x + -0.65x = 0.00
18 + -0.05x = -205 + 0.00
18 + -0.05x = -205

Add '-18' to each side of the equation.
18 + -18 + -0.05x = -205 + -18

Combine like terms: 18 + -18 = 0
0 + -0.05x = -205 + -18
-0.05x = -205 + -18

Combine like terms: -205 + -18 = -223
-0.05x = -223

Divide each side by '-0.05'.
x = 4460

Simplifying
x = 4460

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