0.7(x+300)=0.78x-390

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Solution for 0.7(x+300)=0.78x-390 equation: 


Simplifying
0.7(x + 300) = 0.78x + -390

Reorder the terms:
0.7(300 + x) = 0.78x + -390
(300 * 0.7 + x * 0.7) = 0.78x + -390
(210 + 0.7x) = 0.78x + -390

Reorder the terms:
210 + 0.7x = -390 + 0.78x

Solving
210 + 0.7x = -390 + 0.78x

Solving for variable 'x'.

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

Add '-0.78x' to each side of the equation.
210 + 0.7x + -0.78x = -390 + 0.78x + -0.78x

Combine like terms: 0.7x + -0.78x = -0.08x
210 + -0.08x = -390 + 0.78x + -0.78x

Combine like terms: 0.78x + -0.78x = 0.00
210 + -0.08x = -390 + 0.00
210 + -0.08x = -390

Add '-210' to each side of the equation.
210 + -210 + -0.08x = -390 + -210

Combine like terms: 210 + -210 = 0
0 + -0.08x = -390 + -210
-0.08x = -390 + -210

Combine like terms: -390 + -210 = -600
-0.08x = -600

Divide each side by '-0.08'.
x = 7500

Simplifying
x = 7500

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