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

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


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

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

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

Combine like terms: -4x + 7x = 3x
2 = -28 + 3x

Solving
2 = -28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -3x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -3x = -28 + 0
2 + -3x = -28

Add '-2' to each side of the equation.
2 + -2 + -3x = -28 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -28 + -2
-3x = -28 + -2

Combine like terms: -28 + -2 = -30
-3x = -30

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

Simplifying
x = 10

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