0.4x=0.1(x-100)-70

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Solution for 0.4x=0.1(x-100)-70 equation: 


Simplifying
0.4x = 0.1(x + -100) + -70

Reorder the terms:
0.4x = 0.1(-100 + x) + -70
0.4x = (-100 * 0.1 + x * 0.1) + -70
0.4x = (-10 + 0.1x) + -70

Reorder the terms:
0.4x = -10 + -70 + 0.1x

Combine like terms: -10 + -70 = -80
0.4x = -80 + 0.1x

Solving
0.4x = -80 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
0.4x + -0.1x = -80 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
0.3x = -80 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
0.3x = -80 + 0.0
0.3x = -80

Divide each side by '0.3'.
x = -266.6666667

Simplifying
x = -266.6666667

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