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

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


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

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

Reorder the terms:
28 + 4x = -2(1 + 3x)
28 + 4x = (1 * -2 + 3x * -2)
28 + 4x = (-2 + -6x)

Solving
28 + 4x = -2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
28 + 4x + 6x = -2 + -6x + 6x

Combine like terms: 4x + 6x = 10x
28 + 10x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
28 + 10x = -2 + 0
28 + 10x = -2

Add '-28' to each side of the equation.
28 + -28 + 10x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + 10x = -2 + -28
10x = -2 + -28

Combine like terms: -2 + -28 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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