0.7(x+100)=0.75x-315

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Solution for 0.7(x+100)=0.75x-315 equation:


Simplifying
0.7(x + 100) = 0.75x + -315

Reorder the terms:
0.7(100 + x) = 0.75x + -315
(100 * 0.7 + x * 0.7) = 0.75x + -315
(70 + 0.7x) = 0.75x + -315

Reorder the terms:
70 + 0.7x = -315 + 0.75x

Solving
70 + 0.7x = -315 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
70 + 0.7x + -0.75x = -315 + 0.75x + -0.75x

Combine like terms: 0.7x + -0.75x = -0.05x
70 + -0.05x = -315 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
70 + -0.05x = -315 + 0.00
70 + -0.05x = -315

Add '-70' to each side of the equation.
70 + -70 + -0.05x = -315 + -70

Combine like terms: 70 + -70 = 0
0 + -0.05x = -315 + -70
-0.05x = -315 + -70

Combine like terms: -315 + -70 = -385
-0.05x = -385

Divide each side by '-0.05'.
x = 7700

Simplifying
x = 7700

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