5(x+2)=-1(3x+-6)

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Solution for 5(x+2)=-1(3x+-6) equation:


Simplifying
5(x + 2) = -1(3x + -6)

Reorder the terms:
5(2 + x) = -1(3x + -6)
(2 * 5 + x * 5) = -1(3x + -6)
(10 + 5x) = -1(3x + -6)

Reorder the terms:
10 + 5x = -1(-6 + 3x)
10 + 5x = (-6 * -1 + 3x * -1)
10 + 5x = (6 + -3x)

Solving
10 + 5x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 5x + 3x = 6 + -3x + 3x

Combine like terms: 5x + 3x = 8x
10 + 8x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 8x = 6 + 0
10 + 8x = 6

Add '-10' to each side of the equation.
10 + -10 + 8x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 6 + -10
8x = 6 + -10

Combine like terms: 6 + -10 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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