5(x+3)+4x-3=(-2x-4)

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Solution for 5(x+3)+4x-3=(-2x-4) equation:


Simplifying
5(x + 3) + 4x + -3 = (-2x + -4)

Reorder the terms:
5(3 + x) + 4x + -3 = (-2x + -4)
(3 * 5 + x * 5) + 4x + -3 = (-2x + -4)
(15 + 5x) + 4x + -3 = (-2x + -4)

Reorder the terms:
15 + -3 + 5x + 4x = (-2x + -4)

Combine like terms: 15 + -3 = 12
12 + 5x + 4x = (-2x + -4)

Combine like terms: 5x + 4x = 9x
12 + 9x = (-2x + -4)

Reorder the terms:
12 + 9x = (-4 + -2x)

Remove parenthesis around (-4 + -2x)
12 + 9x = -4 + -2x

Solving
12 + 9x = -4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + 9x + 2x = -4 + -2x + 2x

Combine like terms: 9x + 2x = 11x
12 + 11x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 11x = -4 + 0
12 + 11x = -4

Add '-12' to each side of the equation.
12 + -12 + 11x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = -4 + -12
11x = -4 + -12

Combine like terms: -4 + -12 = -16
11x = -16

Divide each side by '11'.
x = -1.454545455

Simplifying
x = -1.454545455

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