4(3x+1)=-2(5x+2)

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Solution for 4(3x+1)=-2(5x+2) equation:


Simplifying
4(3x + 1) = -2(5x + 2)

Reorder the terms:
4(1 + 3x) = -2(5x + 2)
(1 * 4 + 3x * 4) = -2(5x + 2)
(4 + 12x) = -2(5x + 2)

Reorder the terms:
4 + 12x = -2(2 + 5x)
4 + 12x = (2 * -2 + 5x * -2)
4 + 12x = (-4 + -10x)

Solving
4 + 12x = -4 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
4 + 12x + 10x = -4 + -10x + 10x

Combine like terms: 12x + 10x = 22x
4 + 22x = -4 + -10x + 10x

Combine like terms: -10x + 10x = 0
4 + 22x = -4 + 0
4 + 22x = -4

Add '-4' to each side of the equation.
4 + -4 + 22x = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 22x = -4 + -4
22x = -4 + -4

Combine like terms: -4 + -4 = -8
22x = -8

Divide each side by '22'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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