-7(x+4)+x=-5(8-x)

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Solution for -7(x+4)+x=-5(8-x) equation:


Simplifying
-7(x + 4) + x = -5(8 + -1x)

Reorder the terms:
-7(4 + x) + x = -5(8 + -1x)
(4 * -7 + x * -7) + x = -5(8 + -1x)
(-28 + -7x) + x = -5(8 + -1x)

Combine like terms: -7x + x = -6x
-28 + -6x = -5(8 + -1x)
-28 + -6x = (8 * -5 + -1x * -5)
-28 + -6x = (-40 + 5x)

Solving
-28 + -6x = -40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-28 + -6x + -5x = -40 + 5x + -5x

Combine like terms: -6x + -5x = -11x
-28 + -11x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + -11x = -40 + 0
-28 + -11x = -40

Add '28' to each side of the equation.
-28 + 28 + -11x = -40 + 28

Combine like terms: -28 + 28 = 0
0 + -11x = -40 + 28
-11x = -40 + 28

Combine like terms: -40 + 28 = -12
-11x = -12

Divide each side by '-11'.
x = 1.090909091

Simplifying
x = 1.090909091

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