3(x+4)=8-(x+1)

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Solution for 3(x+4)=8-(x+1) equation:


Simplifying
3(x + 4) = 8 + -1(x + 1)

Reorder the terms:
3(4 + x) = 8 + -1(x + 1)
(4 * 3 + x * 3) = 8 + -1(x + 1)
(12 + 3x) = 8 + -1(x + 1)

Reorder the terms:
12 + 3x = 8 + -1(1 + x)
12 + 3x = 8 + (1 * -1 + x * -1)
12 + 3x = 8 + (-1 + -1x)

Combine like terms: 8 + -1 = 7
12 + 3x = 7 + -1x

Solving
12 + 3x = 7 + -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.
12 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
12 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
12 + 4x = 7 + 0
12 + 4x = 7

Add '-12' to each side of the equation.
12 + -12 + 4x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 7 + -12
4x = 7 + -12

Combine like terms: 7 + -12 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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