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

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


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

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

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

Reorder the terms:
-7 + 10 + 7x + -2x = -5

Combine like terms: -7 + 10 = 3
3 + 7x + -2x = -5

Combine like terms: 7x + -2x = 5x
3 + 5x = -5

Solving
3 + 5x = -5

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 5x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = -5 + -3
5x = -5 + -3

Combine like terms: -5 + -3 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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