10(3x+1)=27x+28

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Solution for 10(3x+1)=27x+28 equation:


Simplifying
10(3x + 1) = 27x + 28

Reorder the terms:
10(1 + 3x) = 27x + 28
(1 * 10 + 3x * 10) = 27x + 28
(10 + 30x) = 27x + 28

Reorder the terms:
10 + 30x = 28 + 27x

Solving
10 + 30x = 28 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
10 + 30x + -27x = 28 + 27x + -27x

Combine like terms: 30x + -27x = 3x
10 + 3x = 28 + 27x + -27x

Combine like terms: 27x + -27x = 0
10 + 3x = 28 + 0
10 + 3x = 28

Add '-10' to each side of the equation.
10 + -10 + 3x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 28 + -10
3x = 28 + -10

Combine like terms: 28 + -10 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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