7(x-5)=-(11-x)

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Solution for 7(x-5)=-(11-x) equation:


Simplifying
7(x + -5) = -1(11 + -1x)

Reorder the terms:
7(-5 + x) = -1(11 + -1x)
(-5 * 7 + x * 7) = -1(11 + -1x)
(-35 + 7x) = -1(11 + -1x)
-35 + 7x = (11 * -1 + -1x * -1)
-35 + 7x = (-11 + 1x)

Solving
-35 + 7x = -11 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-35 + 7x + -1x = -11 + 1x + -1x

Combine like terms: 7x + -1x = 6x
-35 + 6x = -11 + 1x + -1x

Combine like terms: 1x + -1x = 0
-35 + 6x = -11 + 0
-35 + 6x = -11

Add '35' to each side of the equation.
-35 + 35 + 6x = -11 + 35

Combine like terms: -35 + 35 = 0
0 + 6x = -11 + 35
6x = -11 + 35

Combine like terms: -11 + 35 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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