10(2.1x+3)=(3.1x-2)10

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Solution for 10(2.1x+3)=(3.1x-2)10 equation: 


Simplifying
10(2.1x + 3) = (3.1x + -2) * 10

Reorder the terms:
10(3 + 2.1x) = (3.1x + -2) * 10
(3 * 10 + 2.1x * 10) = (3.1x + -2) * 10
(30 + 21x) = (3.1x + -2) * 10

Reorder the terms:
30 + 21x = (-2 + 3.1x) * 10

Reorder the terms for easier multiplication:
30 + 21x = 10(-2 + 3.1x)
30 + 21x = (-2 * 10 + 3.1x * 10)
30 + 21x = (-20 + 31x)

Solving
30 + 21x = -20 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
30 + 21x + -31x = -20 + 31x + -31x

Combine like terms: 21x + -31x = -10x
30 + -10x = -20 + 31x + -31x

Combine like terms: 31x + -31x = 0
30 + -10x = -20 + 0
30 + -10x = -20

Add '-30' to each side of the equation.
30 + -30 + -10x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -10x = -20 + -30
-10x = -20 + -30

Combine like terms: -20 + -30 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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