0.8(x+100)=0.84x-208

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Solution for 0.8(x+100)=0.84x-208 equation: 


Simplifying
0.8(x + 100) = 0.84x + -208

Reorder the terms:
0.8(100 + x) = 0.84x + -208
(100 * 0.8 + x * 0.8) = 0.84x + -208
(80 + 0.8x) = 0.84x + -208

Reorder the terms:
80 + 0.8x = -208 + 0.84x

Solving
80 + 0.8x = -208 + 0.84x

Solving for variable 'x'.

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

Add '-0.84x' to each side of the equation.
80 + 0.8x + -0.84x = -208 + 0.84x + -0.84x

Combine like terms: 0.8x + -0.84x = -0.04x
80 + -0.04x = -208 + 0.84x + -0.84x

Combine like terms: 0.84x + -0.84x = 0.00
80 + -0.04x = -208 + 0.00
80 + -0.04x = -208

Add '-80' to each side of the equation.
80 + -80 + -0.04x = -208 + -80

Combine like terms: 80 + -80 = 0
0 + -0.04x = -208 + -80
-0.04x = -208 + -80

Combine like terms: -208 + -80 = -288
-0.04x = -288

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

Simplifying
x = 7200

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