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

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


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

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

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

Reorder the terms:
-6 + -7 + 6x + -5x = -2

Combine like terms: -6 + -7 = -13
-13 + 6x + -5x = -2

Combine like terms: 6x + -5x = 1x
-13 + 1x = -2

Solving
-13 + 1x = -2

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 1x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -2 + 13
1x = -2 + 13

Combine like terms: -2 + 13 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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