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

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


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

Reorder the terms:
3(3 + x) + -4(x + 1) = 8
(3 * 3 + x * 3) + -4(x + 1) = 8
(9 + 3x) + -4(x + 1) = 8

Reorder the terms:
9 + 3x + -4(1 + x) = 8
9 + 3x + (1 * -4 + x * -4) = 8
9 + 3x + (-4 + -4x) = 8

Reorder the terms:
9 + -4 + 3x + -4x = 8

Combine like terms: 9 + -4 = 5
5 + 3x + -4x = 8

Combine like terms: 3x + -4x = -1x
5 + -1x = 8

Solving
5 + -1x = 8

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 8 + -5
-1x = 8 + -5

Combine like terms: 8 + -5 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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