3(x+7)=2-4(x+5)+6

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Solution for 3(x+7)=2-4(x+5)+6 equation: 


Simplifying
3(x + 7) = 2 + -4(x + 5) + 6

Reorder the terms:
3(7 + x) = 2 + -4(x + 5) + 6
(7 * 3 + x * 3) = 2 + -4(x + 5) + 6
(21 + 3x) = 2 + -4(x + 5) + 6

Reorder the terms:
21 + 3x = 2 + -4(5 + x) + 6
21 + 3x = 2 + (5 * -4 + x * -4) + 6
21 + 3x = 2 + (-20 + -4x) + 6

Reorder the terms:
21 + 3x = 2 + -20 + 6 + -4x

Combine like terms: 2 + -20 = -18
21 + 3x = -18 + 6 + -4x

Combine like terms: -18 + 6 = -12
21 + 3x = -12 + -4x

Solving
21 + 3x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
21 + 3x + 4x = -12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
21 + 7x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
21 + 7x = -12 + 0
21 + 7x = -12

Add '-21' to each side of the equation.
21 + -21 + 7x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + 7x = -12 + -21
7x = -12 + -21

Combine like terms: -12 + -21 = -33
7x = -33

Divide each side by '7'.
x = -4.714285714

Simplifying
x = -4.714285714

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