20-7x=-7(4x+4)+5x

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Solution for 20-7x=-7(4x+4)+5x equation:


Simplifying
20 + -7x = -7(4x + 4) + 5x

Reorder the terms:
20 + -7x = -7(4 + 4x) + 5x
20 + -7x = (4 * -7 + 4x * -7) + 5x
20 + -7x = (-28 + -28x) + 5x

Combine like terms: -28x + 5x = -23x
20 + -7x = -28 + -23x

Solving
20 + -7x = -28 + -23x

Solving for variable 'x'.

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

Add '23x' to each side of the equation.
20 + -7x + 23x = -28 + -23x + 23x

Combine like terms: -7x + 23x = 16x
20 + 16x = -28 + -23x + 23x

Combine like terms: -23x + 23x = 0
20 + 16x = -28 + 0
20 + 16x = -28

Add '-20' to each side of the equation.
20 + -20 + 16x = -28 + -20

Combine like terms: 20 + -20 = 0
0 + 16x = -28 + -20
16x = -28 + -20

Combine like terms: -28 + -20 = -48
16x = -48

Divide each side by '16'.
x = -3

Simplifying
x = -3

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