0.5(x+100)=0.58x-574

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Solution for 0.5(x+100)=0.58x-574 equation:


Simplifying
0.5(x + 100) = 0.58x + -574

Reorder the terms:
0.5(100 + x) = 0.58x + -574
(100 * 0.5 + x * 0.5) = 0.58x + -574
(50 + 0.5x) = 0.58x + -574

Reorder the terms:
50 + 0.5x = -574 + 0.58x

Solving
50 + 0.5x = -574 + 0.58x

Solving for variable 'x'.

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

Add '-0.58x' to each side of the equation.
50 + 0.5x + -0.58x = -574 + 0.58x + -0.58x

Combine like terms: 0.5x + -0.58x = -0.08x
50 + -0.08x = -574 + 0.58x + -0.58x

Combine like terms: 0.58x + -0.58x = 0.00
50 + -0.08x = -574 + 0.00
50 + -0.08x = -574

Add '-50' to each side of the equation.
50 + -50 + -0.08x = -574 + -50

Combine like terms: 50 + -50 = 0
0 + -0.08x = -574 + -50
-0.08x = -574 + -50

Combine like terms: -574 + -50 = -624
-0.08x = -624

Divide each side by '-0.08'.
x = 7800

Simplifying
x = 7800

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