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

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


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

Reorder the terms:
5(3 + x) + -3 = -7(x + 4)
(3 * 5 + x * 5) + -3 = -7(x + 4)
(15 + 5x) + -3 = -7(x + 4)

Reorder the terms:
15 + -3 + 5x = -7(x + 4)

Combine like terms: 15 + -3 = 12
12 + 5x = -7(x + 4)

Reorder the terms:
12 + 5x = -7(4 + x)
12 + 5x = (4 * -7 + x * -7)
12 + 5x = (-28 + -7x)

Solving
12 + 5x = -28 + -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.
12 + 5x + 7x = -28 + -7x + 7x

Combine like terms: 5x + 7x = 12x
12 + 12x = -28 + -7x + 7x

Combine like terms: -7x + 7x = 0
12 + 12x = -28 + 0
12 + 12x = -28

Add '-12' to each side of the equation.
12 + -12 + 12x = -28 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = -28 + -12
12x = -28 + -12

Combine like terms: -28 + -12 = -40
12x = -40

Divide each side by '12'.
x = -3.333333333

Simplifying
x = -3.333333333

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