0.6(x+200)=0.65x-270

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Solution for 0.6(x+200)=0.65x-270 equation:


Simplifying
0.6(x + 200) = 0.65x + -270

Reorder the terms:
0.6(200 + x) = 0.65x + -270
(200 * 0.6 + x * 0.6) = 0.65x + -270
(120 + 0.6x) = 0.65x + -270

Reorder the terms:
120 + 0.6x = -270 + 0.65x

Solving
120 + 0.6x = -270 + 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.
120 + 0.6x + -0.65x = -270 + 0.65x + -0.65x

Combine like terms: 0.6x + -0.65x = -0.05x
120 + -0.05x = -270 + 0.65x + -0.65x

Combine like terms: 0.65x + -0.65x = 0.00
120 + -0.05x = -270 + 0.00
120 + -0.05x = -270

Add '-120' to each side of the equation.
120 + -120 + -0.05x = -270 + -120

Combine like terms: 120 + -120 = 0
0 + -0.05x = -270 + -120
-0.05x = -270 + -120

Combine like terms: -270 + -120 = -390
-0.05x = -390

Divide each side by '-0.05'.
x = 7800

Simplifying
x = 7800

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