7(x+4)-3(x+2)=3(x-1)-(x+7)

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Solution for 7(x+4)-3(x+2)=3(x-1)-(x+7) equation: 


Simplifying
7(x + 4) + -3(x + 2) = 3(x + -1) + -1(x + 7)

Reorder the terms:
7(4 + x) + -3(x + 2) = 3(x + -1) + -1(x + 7)
(4 * 7 + x * 7) + -3(x + 2) = 3(x + -1) + -1(x + 7)
(28 + 7x) + -3(x + 2) = 3(x + -1) + -1(x + 7)

Reorder the terms:
28 + 7x + -3(2 + x) = 3(x + -1) + -1(x + 7)
28 + 7x + (2 * -3 + x * -3) = 3(x + -1) + -1(x + 7)
28 + 7x + (-6 + -3x) = 3(x + -1) + -1(x + 7)

Reorder the terms:
28 + -6 + 7x + -3x = 3(x + -1) + -1(x + 7)

Combine like terms: 28 + -6 = 22
22 + 7x + -3x = 3(x + -1) + -1(x + 7)

Combine like terms: 7x + -3x = 4x
22 + 4x = 3(x + -1) + -1(x + 7)

Reorder the terms:
22 + 4x = 3(-1 + x) + -1(x + 7)
22 + 4x = (-1 * 3 + x * 3) + -1(x + 7)
22 + 4x = (-3 + 3x) + -1(x + 7)

Reorder the terms:
22 + 4x = -3 + 3x + -1(7 + x)
22 + 4x = -3 + 3x + (7 * -1 + x * -1)
22 + 4x = -3 + 3x + (-7 + -1x)

Reorder the terms:
22 + 4x = -3 + -7 + 3x + -1x

Combine like terms: -3 + -7 = -10
22 + 4x = -10 + 3x + -1x

Combine like terms: 3x + -1x = 2x
22 + 4x = -10 + 2x

Solving
22 + 4x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
22 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
22 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 2x = -10 + 0
22 + 2x = -10

Add '-22' to each side of the equation.
22 + -22 + 2x = -10 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = -10 + -22
2x = -10 + -22

Combine like terms: -10 + -22 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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