2(2x+3)=-6(x+9)-4

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Solution for 2(2x+3)=-6(x+9)-4 equation:


Simplifying
2(2x + 3) = -6(x + 9) + -4

Reorder the terms:
2(3 + 2x) = -6(x + 9) + -4
(3 * 2 + 2x * 2) = -6(x + 9) + -4
(6 + 4x) = -6(x + 9) + -4

Reorder the terms:
6 + 4x = -6(9 + x) + -4
6 + 4x = (9 * -6 + x * -6) + -4
6 + 4x = (-54 + -6x) + -4

Reorder the terms:
6 + 4x = -54 + -4 + -6x

Combine like terms: -54 + -4 = -58
6 + 4x = -58 + -6x

Solving
6 + 4x = -58 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 4x + 6x = -58 + -6x + 6x

Combine like terms: 4x + 6x = 10x
6 + 10x = -58 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 10x = -58 + 0
6 + 10x = -58

Add '-6' to each side of the equation.
6 + -6 + 10x = -58 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -58 + -6
10x = -58 + -6

Combine like terms: -58 + -6 = -64
10x = -64

Divide each side by '10'.
x = -6.4

Simplifying
x = -6.4

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