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

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


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

Reorder the terms:
7(2 + 3x) = 4(x + -4) + -2
(2 * 7 + 3x * 7) = 4(x + -4) + -2
(14 + 21x) = 4(x + -4) + -2

Reorder the terms:
14 + 21x = 4(-4 + x) + -2
14 + 21x = (-4 * 4 + x * 4) + -2
14 + 21x = (-16 + 4x) + -2

Reorder the terms:
14 + 21x = -16 + -2 + 4x

Combine like terms: -16 + -2 = -18
14 + 21x = -18 + 4x

Solving
14 + 21x = -18 + 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.
14 + 21x + -4x = -18 + 4x + -4x

Combine like terms: 21x + -4x = 17x
14 + 17x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 17x = -18 + 0
14 + 17x = -18

Add '-14' to each side of the equation.
14 + -14 + 17x = -18 + -14

Combine like terms: 14 + -14 = 0
0 + 17x = -18 + -14
17x = -18 + -14

Combine like terms: -18 + -14 = -32
17x = -32

Divide each side by '17'.
x = -1.882352941

Simplifying
x = -1.882352941

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