9-1(x+1)=-3(4-x)

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Solution for 9-1(x+1)=-3(4-x) equation:


Simplifying
9 + -1(x + 1) = -3(4 + -1x)

Reorder the terms:
9 + -1(1 + x) = -3(4 + -1x)
9 + (1 * -1 + x * -1) = -3(4 + -1x)
9 + (-1 + -1x) = -3(4 + -1x)

Combine like terms: 9 + -1 = 8
8 + -1x = -3(4 + -1x)
8 + -1x = (4 * -3 + -1x * -3)
8 + -1x = (-12 + 3x)

Solving
8 + -1x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -1x + -3x = -12 + 3x + -3x

Combine like terms: -1x + -3x = -4x
8 + -4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -4x = -12 + 0
8 + -4x = -12

Add '-8' to each side of the equation.
8 + -8 + -4x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -12 + -8
-4x = -12 + -8

Combine like terms: -12 + -8 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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