1.05x-500=1.08x-1000

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Solution for 1.05x-500=1.08x-1000 equation: 


Simplifying
1.05x + -500 = 1.08x + -1000

Reorder the terms:
-500 + 1.05x = 1.08x + -1000

Reorder the terms:
-500 + 1.05x = -1000 + 1.08x

Solving
-500 + 1.05x = -1000 + 1.08x

Solving for variable 'x'.

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

Add '-1.08x' to each side of the equation.
-500 + 1.05x + -1.08x = -1000 + 1.08x + -1.08x

Combine like terms: 1.05x + -1.08x = -0.03x
-500 + -0.03x = -1000 + 1.08x + -1.08x

Combine like terms: 1.08x + -1.08x = 0.00
-500 + -0.03x = -1000 + 0.00
-500 + -0.03x = -1000

Add '500' to each side of the equation.
-500 + 500 + -0.03x = -1000 + 500

Combine like terms: -500 + 500 = 0
0 + -0.03x = -1000 + 500
-0.03x = -1000 + 500

Combine like terms: -1000 + 500 = -500
-0.03x = -500

Divide each side by '-0.03'.
x = 16666.66667

Simplifying
x = 16666.66667

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