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

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


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

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

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

Reorder the terms:
-28 + -7x = -2 + 4 + -2x

Combine like terms: -2 + 4 = 2
-28 + -7x = 2 + -2x

Solving
-28 + -7x = 2 + -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.
-28 + -7x + 2x = 2 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-28 + -5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + -5x = 2 + 0
-28 + -5x = 2

Add '28' to each side of the equation.
-28 + 28 + -5x = 2 + 28

Combine like terms: -28 + 28 = 0
0 + -5x = 2 + 28
-5x = 2 + 28

Combine like terms: 2 + 28 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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