50(6X-3)=21(10X-15)

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Solution for 50(6X-3)=21(10X-15) equation: 


Simplifying
50(6X + -3) = 21(10X + -15)

Reorder the terms:
50(-3 + 6X) = 21(10X + -15)
(-3 * 50 + 6X * 50) = 21(10X + -15)
(-150 + 300X) = 21(10X + -15)

Reorder the terms:
-150 + 300X = 21(-15 + 10X)
-150 + 300X = (-15 * 21 + 10X * 21)
-150 + 300X = (-315 + 210X)

Solving
-150 + 300X = -315 + 210X

Solving for variable 'X'.

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

Add '-210X' to each side of the equation.
-150 + 300X + -210X = -315 + 210X + -210X

Combine like terms: 300X + -210X = 90X
-150 + 90X = -315 + 210X + -210X

Combine like terms: 210X + -210X = 0
-150 + 90X = -315 + 0
-150 + 90X = -315

Add '150' to each side of the equation.
-150 + 150 + 90X = -315 + 150

Combine like terms: -150 + 150 = 0
0 + 90X = -315 + 150
90X = -315 + 150

Combine like terms: -315 + 150 = -165
90X = -165

Divide each side by '90'.
X = -1.833333333

Simplifying
X = -1.833333333

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