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

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


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

Reorder the terms:
2(-2 + x) + -5 + 7(x + -1) = 7
(-2 * 2 + x * 2) + -5 + 7(x + -1) = 7
(-4 + 2x) + -5 + 7(x + -1) = 7

Reorder the terms:
-4 + 2x + -5 + 7(-1 + x) = 7
-4 + 2x + -5 + (-1 * 7 + x * 7) = 7
-4 + 2x + -5 + (-7 + 7x) = 7

Reorder the terms:
-4 + -5 + -7 + 2x + 7x = 7

Combine like terms: -4 + -5 = -9
-9 + -7 + 2x + 7x = 7

Combine like terms: -9 + -7 = -16
-16 + 2x + 7x = 7

Combine like terms: 2x + 7x = 9x
-16 + 9x = 7

Solving
-16 + 9x = 7

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 9x = 7 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 7 + 16
9x = 7 + 16

Combine like terms: 7 + 16 = 23
9x = 23

Divide each side by '9'.
x = 2.555555556

Simplifying
x = 2.555555556

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