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

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Solution for 4(5-x)=-(1+x) equation:


Simplifying
4(5 + -1x) = -1(1 + x)
(5 * 4 + -1x * 4) = -1(1 + x)
(20 + -4x) = -1(1 + x)
20 + -4x = (1 * -1 + x * -1)
20 + -4x = (-1 + -1x)

Solving
20 + -4x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
20 + -4x + x = -1 + -1x + x

Combine like terms: -4x + x = -3x
20 + -3x = -1 + -1x + x

Combine like terms: -1x + x = 0
20 + -3x = -1 + 0
20 + -3x = -1

Add '-20' to each side of the equation.
20 + -20 + -3x = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -1 + -20
-3x = -1 + -20

Combine like terms: -1 + -20 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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