7(x+5)+9=4(x-5)

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Solution for 7(x+5)+9=4(x-5) equation:


Simplifying
7(x + 5) + 9 = 4(x + -5)

Reorder the terms:
7(5 + x) + 9 = 4(x + -5)
(5 * 7 + x * 7) + 9 = 4(x + -5)
(35 + 7x) + 9 = 4(x + -5)

Reorder the terms:
35 + 9 + 7x = 4(x + -5)

Combine like terms: 35 + 9 = 44
44 + 7x = 4(x + -5)

Reorder the terms:
44 + 7x = 4(-5 + x)
44 + 7x = (-5 * 4 + x * 4)
44 + 7x = (-20 + 4x)

Solving
44 + 7x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
44 + 7x + -4x = -20 + 4x + -4x

Combine like terms: 7x + -4x = 3x
44 + 3x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
44 + 3x = -20 + 0
44 + 3x = -20

Add '-44' to each side of the equation.
44 + -44 + 3x = -20 + -44

Combine like terms: 44 + -44 = 0
0 + 3x = -20 + -44
3x = -20 + -44

Combine like terms: -20 + -44 = -64
3x = -64

Divide each side by '3'.
x = -21.33333333

Simplifying
x = -21.33333333

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