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

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


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

Reorder the terms:
5(-2 + x) + -9 = 7(1 + -1x)
(-2 * 5 + x * 5) + -9 = 7(1 + -1x)
(-10 + 5x) + -9 = 7(1 + -1x)

Reorder the terms:
-10 + -9 + 5x = 7(1 + -1x)

Combine like terms: -10 + -9 = -19
-19 + 5x = 7(1 + -1x)
-19 + 5x = (1 * 7 + -1x * 7)
-19 + 5x = (7 + -7x)

Solving
-19 + 5x = 7 + -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.
-19 + 5x + 7x = 7 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-19 + 12x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
-19 + 12x = 7 + 0
-19 + 12x = 7

Add '19' to each side of the equation.
-19 + 19 + 12x = 7 + 19

Combine like terms: -19 + 19 = 0
0 + 12x = 7 + 19
12x = 7 + 19

Combine like terms: 7 + 19 = 26
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

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