2(7x-6)+9(3x-1)=10

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Solution for 2(7x-6)+9(3x-1)=10 equation:


Simplifying
2(7x + -6) + 9(3x + -1) = 10

Reorder the terms:
2(-6 + 7x) + 9(3x + -1) = 10
(-6 * 2 + 7x * 2) + 9(3x + -1) = 10
(-12 + 14x) + 9(3x + -1) = 10

Reorder the terms:
-12 + 14x + 9(-1 + 3x) = 10
-12 + 14x + (-1 * 9 + 3x * 9) = 10
-12 + 14x + (-9 + 27x) = 10

Reorder the terms:
-12 + -9 + 14x + 27x = 10

Combine like terms: -12 + -9 = -21
-21 + 14x + 27x = 10

Combine like terms: 14x + 27x = 41x
-21 + 41x = 10

Solving
-21 + 41x = 10

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 41x = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 41x = 10 + 21
41x = 10 + 21

Combine like terms: 10 + 21 = 31
41x = 31

Divide each side by '41'.
x = 0.756097561

Simplifying
x = 0.756097561

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