3x-5(x+4)=-7x

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Solution for 3x-5(x+4)=-7x equation:


Simplifying
3x + -5(x + 4) = -7x

Reorder the terms:
3x + -5(4 + x) = -7x
3x + (4 * -5 + x * -5) = -7x
3x + (-20 + -5x) = -7x

Reorder the terms:
-20 + 3x + -5x = -7x

Combine like terms: 3x + -5x = -2x
-20 + -2x = -7x

Solving
-20 + -2x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-20 + -2x + 7x = -7x + 7x

Combine like terms: -2x + 7x = 5x
-20 + 5x = -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 5x = 0

Add '20' to each side of the equation.
-20 + 20 + 5x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 0 + 20
5x = 0 + 20

Combine like terms: 0 + 20 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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