0.5(x+100)=0.54x-238

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Solution for 0.5(x+100)=0.54x-238 equation: 


Simplifying
0.5(x + 100) = 0.54x + -238

Reorder the terms:
0.5(100 + x) = 0.54x + -238
(100 * 0.5 + x * 0.5) = 0.54x + -238
(50 + 0.5x) = 0.54x + -238

Reorder the terms:
50 + 0.5x = -238 + 0.54x

Solving
50 + 0.5x = -238 + 0.54x

Solving for variable 'x'.

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

Add '-0.54x' to each side of the equation.
50 + 0.5x + -0.54x = -238 + 0.54x + -0.54x

Combine like terms: 0.5x + -0.54x = -0.04x
50 + -0.04x = -238 + 0.54x + -0.54x

Combine like terms: 0.54x + -0.54x = 0.00
50 + -0.04x = -238 + 0.00
50 + -0.04x = -238

Add '-50' to each side of the equation.
50 + -50 + -0.04x = -238 + -50

Combine like terms: 50 + -50 = 0
0 + -0.04x = -238 + -50
-0.04x = -238 + -50

Combine like terms: -238 + -50 = -288
-0.04x = -288

Divide each side by '-0.04'.
x = 7200

Simplifying
x = 7200

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