10(x+1)=9(x+6)

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Solution for 10(x+1)=9(x+6) equation:


Simplifying
10(x + 1) = 9(x + 6)

Reorder the terms:
10(1 + x) = 9(x + 6)
(1 * 10 + x * 10) = 9(x + 6)
(10 + 10x) = 9(x + 6)

Reorder the terms:
10 + 10x = 9(6 + x)
10 + 10x = (6 * 9 + x * 9)
10 + 10x = (54 + 9x)

Solving
10 + 10x = 54 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 10x + -9x = 54 + 9x + -9x

Combine like terms: 10x + -9x = 1x
10 + 1x = 54 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 1x = 54 + 0
10 + 1x = 54

Add '-10' to each side of the equation.
10 + -10 + 1x = 54 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 54 + -10
1x = 54 + -10

Combine like terms: 54 + -10 = 44
1x = 44

Divide each side by '1'.
x = 44

Simplifying
x = 44

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