-46=7(-4-x)-5(-7x-2)

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Solution for -46=7(-4-x)-5(-7x-2) equation:


Simplifying
-46 = 7(-4 + -1x) + -5(-7x + -2)
-46 = (-4 * 7 + -1x * 7) + -5(-7x + -2)
-46 = (-28 + -7x) + -5(-7x + -2)

Reorder the terms:
-46 = -28 + -7x + -5(-2 + -7x)
-46 = -28 + -7x + (-2 * -5 + -7x * -5)
-46 = -28 + -7x + (10 + 35x)

Reorder the terms:
-46 = -28 + 10 + -7x + 35x

Combine like terms: -28 + 10 = -18
-46 = -18 + -7x + 35x

Combine like terms: -7x + 35x = 28x
-46 = -18 + 28x

Solving
-46 = -18 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-46 + -28x = -18 + 28x + -28x

Combine like terms: 28x + -28x = 0
-46 + -28x = -18 + 0
-46 + -28x = -18

Add '46' to each side of the equation.
-46 + 46 + -28x = -18 + 46

Combine like terms: -46 + 46 = 0
0 + -28x = -18 + 46
-28x = -18 + 46

Combine like terms: -18 + 46 = 28
-28x = 28

Divide each side by '-28'.
x = -1

Simplifying
x = -1

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