-(x-3)=5(x+4)

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Solution for -(x-3)=5(x+4) equation:


Simplifying
-1(x + -3) = 5(x + 4)

Reorder the terms:
-1(-3 + x) = 5(x + 4)
(-3 * -1 + x * -1) = 5(x + 4)
(3 + -1x) = 5(x + 4)

Reorder the terms:
3 + -1x = 5(4 + x)
3 + -1x = (4 * 5 + x * 5)
3 + -1x = (20 + 5x)

Solving
3 + -1x = 20 + 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.
3 + -1x + -5x = 20 + 5x + -5x

Combine like terms: -1x + -5x = -6x
3 + -6x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -6x = 20 + 0
3 + -6x = 20

Add '-3' to each side of the equation.
3 + -3 + -6x = 20 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 20 + -3
-6x = 20 + -3

Combine like terms: 20 + -3 = 17
-6x = 17

Divide each side by '-6'.
x = -2.833333333

Simplifying
x = -2.833333333

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