10(2x+6)=-4(1+3x)

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Solution for 10(2x+6)=-4(1+3x) equation:


Simplifying
10(2x + 6) = -4(1 + 3x)

Reorder the terms:
10(6 + 2x) = -4(1 + 3x)
(6 * 10 + 2x * 10) = -4(1 + 3x)
(60 + 20x) = -4(1 + 3x)
60 + 20x = (1 * -4 + 3x * -4)
60 + 20x = (-4 + -12x)

Solving
60 + 20x = -4 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
60 + 20x + 12x = -4 + -12x + 12x

Combine like terms: 20x + 12x = 32x
60 + 32x = -4 + -12x + 12x

Combine like terms: -12x + 12x = 0
60 + 32x = -4 + 0
60 + 32x = -4

Add '-60' to each side of the equation.
60 + -60 + 32x = -4 + -60

Combine like terms: 60 + -60 = 0
0 + 32x = -4 + -60
32x = -4 + -60

Combine like terms: -4 + -60 = -64
32x = -64

Divide each side by '32'.
x = -2

Simplifying
x = -2

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