3(x+3)-4(x-1)=6

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Solution for 3(x+3)-4(x-1)=6 equation: 


Simplifying
3(x + 3) + -4(x + -1) = 6

Reorder the terms:
3(3 + x) + -4(x + -1) = 6
(3 * 3 + x * 3) + -4(x + -1) = 6
(9 + 3x) + -4(x + -1) = 6

Reorder the terms:
9 + 3x + -4(-1 + x) = 6
9 + 3x + (-1 * -4 + x * -4) = 6
9 + 3x + (4 + -4x) = 6

Reorder the terms:
9 + 4 + 3x + -4x = 6

Combine like terms: 9 + 4 = 13
13 + 3x + -4x = 6

Combine like terms: 3x + -4x = -1x
13 + -1x = 6

Solving
13 + -1x = 6

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 6 + -13
-1x = 6 + -13

Combine like terms: 6 + -13 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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