4(5x+2)=3(-2x-6)

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Solution for 4(5x+2)=3(-2x-6) equation:


Simplifying
4(5x + 2) = 3(-2x + -6)

Reorder the terms:
4(2 + 5x) = 3(-2x + -6)
(2 * 4 + 5x * 4) = 3(-2x + -6)
(8 + 20x) = 3(-2x + -6)

Reorder the terms:
8 + 20x = 3(-6 + -2x)
8 + 20x = (-6 * 3 + -2x * 3)
8 + 20x = (-18 + -6x)

Solving
8 + 20x = -18 + -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.
8 + 20x + 6x = -18 + -6x + 6x

Combine like terms: 20x + 6x = 26x
8 + 26x = -18 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 26x = -18 + 0
8 + 26x = -18

Add '-8' to each side of the equation.
8 + -8 + 26x = -18 + -8

Combine like terms: 8 + -8 = 0
0 + 26x = -18 + -8
26x = -18 + -8

Combine like terms: -18 + -8 = -26
26x = -26

Divide each side by '26'.
x = -1

Simplifying
x = -1

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