5(x-4)=-7(x+2)+39

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Solution for 5(x-4)=-7(x+2)+39 equation:


Simplifying
5(x + -4) = -7(x + 2) + 39

Reorder the terms:
5(-4 + x) = -7(x + 2) + 39
(-4 * 5 + x * 5) = -7(x + 2) + 39
(-20 + 5x) = -7(x + 2) + 39

Reorder the terms:
-20 + 5x = -7(2 + x) + 39
-20 + 5x = (2 * -7 + x * -7) + 39
-20 + 5x = (-14 + -7x) + 39

Reorder the terms:
-20 + 5x = -14 + 39 + -7x

Combine like terms: -14 + 39 = 25
-20 + 5x = 25 + -7x

Solving
-20 + 5x = 25 + -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 + 5x + 7x = 25 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-20 + 12x = 25 + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 12x = 25 + 0
-20 + 12x = 25

Add '20' to each side of the equation.
-20 + 20 + 12x = 25 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 25 + 20
12x = 25 + 20

Combine like terms: 25 + 20 = 45
12x = 45

Divide each side by '12'.
x = 3.75

Simplifying
x = 3.75

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