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

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


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

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

Combine like terms: 9 + -2 = 7
7 + 2x = 10 + -9(x + -7)

Reorder the terms:
7 + 2x = 10 + -9(-7 + x)
7 + 2x = 10 + (-7 * -9 + x * -9)
7 + 2x = 10 + (63 + -9x)

Combine like terms: 10 + 63 = 73
7 + 2x = 73 + -9x

Solving
7 + 2x = 73 + -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.
7 + 2x + 9x = 73 + -9x + 9x

Combine like terms: 2x + 9x = 11x
7 + 11x = 73 + -9x + 9x

Combine like terms: -9x + 9x = 0
7 + 11x = 73 + 0
7 + 11x = 73

Add '-7' to each side of the equation.
7 + -7 + 11x = 73 + -7

Combine like terms: 7 + -7 = 0
0 + 11x = 73 + -7
11x = 73 + -7

Combine like terms: 73 + -7 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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