0.7(x+100)=0.78x-514

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Solution for 0.7(x+100)=0.78x-514 equation: 


Simplifying
0.7(x + 100) = 0.78x + -514

Reorder the terms:
0.7(100 + x) = 0.78x + -514
(100 * 0.7 + x * 0.7) = 0.78x + -514
(70 + 0.7x) = 0.78x + -514

Reorder the terms:
70 + 0.7x = -514 + 0.78x

Solving
70 + 0.7x = -514 + 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.
70 + 0.7x + -0.78x = -514 + 0.78x + -0.78x

Combine like terms: 0.7x + -0.78x = -0.08x
70 + -0.08x = -514 + 0.78x + -0.78x

Combine like terms: 0.78x + -0.78x = 0.00
70 + -0.08x = -514 + 0.00
70 + -0.08x = -514

Add '-70' to each side of the equation.
70 + -70 + -0.08x = -514 + -70

Combine like terms: 70 + -70 = 0
0 + -0.08x = -514 + -70
-0.08x = -514 + -70

Combine like terms: -514 + -70 = -584
-0.08x = -584

Divide each side by '-0.08'.
x = 7300

Simplifying
x = 7300

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