10x+6(-9+12x)=11(1+7x)

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Solution for 10x+6(-9+12x)=11(1+7x) equation:


Simplifying
10x + 6(-9 + 12x) = 11(1 + 7x)
10x + (-9 * 6 + 12x * 6) = 11(1 + 7x)
10x + (-54 + 72x) = 11(1 + 7x)

Reorder the terms:
-54 + 10x + 72x = 11(1 + 7x)

Combine like terms: 10x + 72x = 82x
-54 + 82x = 11(1 + 7x)
-54 + 82x = (1 * 11 + 7x * 11)
-54 + 82x = (11 + 77x)

Solving
-54 + 82x = 11 + 77x

Solving for variable 'x'.

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

Add '-77x' to each side of the equation.
-54 + 82x + -77x = 11 + 77x + -77x

Combine like terms: 82x + -77x = 5x
-54 + 5x = 11 + 77x + -77x

Combine like terms: 77x + -77x = 0
-54 + 5x = 11 + 0
-54 + 5x = 11

Add '54' to each side of the equation.
-54 + 54 + 5x = 11 + 54

Combine like terms: -54 + 54 = 0
0 + 5x = 11 + 54
5x = 11 + 54

Combine like terms: 11 + 54 = 65
5x = 65

Divide each side by '5'.
x = 13

Simplifying
x = 13

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