2+9(x-5)=6-7(x-1)

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Solution for 2+9(x-5)=6-7(x-1) equation:


Simplifying
2 + 9(x + -5) = 6 + -7(x + -1)

Reorder the terms:
2 + 9(-5 + x) = 6 + -7(x + -1)
2 + (-5 * 9 + x * 9) = 6 + -7(x + -1)
2 + (-45 + 9x) = 6 + -7(x + -1)

Combine like terms: 2 + -45 = -43
-43 + 9x = 6 + -7(x + -1)

Reorder the terms:
-43 + 9x = 6 + -7(-1 + x)
-43 + 9x = 6 + (-1 * -7 + x * -7)
-43 + 9x = 6 + (7 + -7x)

Combine like terms: 6 + 7 = 13
-43 + 9x = 13 + -7x

Solving
-43 + 9x = 13 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-43 + 9x + 7x = 13 + -7x + 7x

Combine like terms: 9x + 7x = 16x
-43 + 16x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
-43 + 16x = 13 + 0
-43 + 16x = 13

Add '43' to each side of the equation.
-43 + 43 + 16x = 13 + 43

Combine like terms: -43 + 43 = 0
0 + 16x = 13 + 43
16x = 13 + 43

Combine like terms: 13 + 43 = 56
16x = 56

Divide each side by '16'.
x = 3.5

Simplifying
x = 3.5

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