14(x+1)=(-7)(4+x)

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Solution for 14(x+1)=(-7)(4+x) equation:


Simplifying
14(x + 1) = (-7)(4 + x)

Reorder the terms:
14(1 + x) = (-7)(4 + x)
(1 * 14 + x * 14) = (-7)(4 + x)
(14 + 14x) = (-7)(4 + x)
14 + 14x = (4 * -7 + x * -7)
14 + 14x = (-28 + -7x)

Solving
14 + 14x = -28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
14 + 14x + 7x = -28 + -7x + 7x

Combine like terms: 14x + 7x = 21x
14 + 21x = -28 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 21x = -28 + 0
14 + 21x = -28

Add '-14' to each side of the equation.
14 + -14 + 21x = -28 + -14

Combine like terms: 14 + -14 = 0
0 + 21x = -28 + -14
21x = -28 + -14

Combine like terms: -28 + -14 = -42
21x = -42

Divide each side by '21'.
x = -2

Simplifying
x = -2

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