3(x+3)-4(2x+2)=6

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Solution for 3(x+3)-4(2x+2)=6 equation:


Simplifying
3(x + 3) + -4(2x + 2) = 6

Reorder the terms:
3(3 + x) + -4(2x + 2) = 6
(3 * 3 + x * 3) + -4(2x + 2) = 6
(9 + 3x) + -4(2x + 2) = 6

Reorder the terms:
9 + 3x + -4(2 + 2x) = 6
9 + 3x + (2 * -4 + 2x * -4) = 6
9 + 3x + (-8 + -8x) = 6

Reorder the terms:
9 + -8 + 3x + -8x = 6

Combine like terms: 9 + -8 = 1
1 + 3x + -8x = 6

Combine like terms: 3x + -8x = -5x
1 + -5x = 6

Solving
1 + -5x = 6

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 6 + -1
-5x = 6 + -1

Combine like terms: 6 + -1 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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