-2+7(x-1)=13-4x

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Solution for -2+7(x-1)=13-4x equation:


Simplifying
-2 + 7(x + -1) = 13 + -4x

Reorder the terms:
-2 + 7(-1 + x) = 13 + -4x
-2 + (-1 * 7 + x * 7) = 13 + -4x
-2 + (-7 + 7x) = 13 + -4x

Combine like terms: -2 + -7 = -9
-9 + 7x = 13 + -4x

Solving
-9 + 7x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + 7x + 4x = 13 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-9 + 11x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 11x = 13 + 0
-9 + 11x = 13

Add '9' to each side of the equation.
-9 + 9 + 11x = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 11x = 13 + 9
11x = 13 + 9

Combine like terms: 13 + 9 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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