100x=3x+0.5(10x-6)-21

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Solution for 100x=3x+0.5(10x-6)-21 equation:


Simplifying
100x = 3x + 0.5(10x + -6) + -21

Reorder the terms:
100x = 3x + 0.5(-6 + 10x) + -21
100x = 3x + (-6 * 0.5 + 10x * 0.5) + -21
100x = 3x + (-3 + 5x) + -21

Reorder the terms:
100x = -3 + -21 + 3x + 5x

Combine like terms: -3 + -21 = -24
100x = -24 + 3x + 5x

Combine like terms: 3x + 5x = 8x
100x = -24 + 8x

Solving
100x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
100x + -8x = -24 + 8x + -8x

Combine like terms: 100x + -8x = 92x
92x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
92x = -24 + 0
92x = -24

Divide each side by '92'.
x = -0.2608695652

Simplifying
x = -0.2608695652

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