3(8x+9)=10x+1

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Solution for 3(8x+9)=10x+1 equation:


Simplifying
3(8x + 9) = 10x + 1

Reorder the terms:
3(9 + 8x) = 10x + 1
(9 * 3 + 8x * 3) = 10x + 1
(27 + 24x) = 10x + 1

Reorder the terms:
27 + 24x = 1 + 10x

Solving
27 + 24x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
27 + 24x + -10x = 1 + 10x + -10x

Combine like terms: 24x + -10x = 14x
27 + 14x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
27 + 14x = 1 + 0
27 + 14x = 1

Add '-27' to each side of the equation.
27 + -27 + 14x = 1 + -27

Combine like terms: 27 + -27 = 0
0 + 14x = 1 + -27
14x = 1 + -27

Combine like terms: 1 + -27 = -26
14x = -26

Divide each side by '14'.
x = -1.857142857

Simplifying
x = -1.857142857

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