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

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


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

Reorder the terms:
5(6 + 2x) = -4(5 + -2x)
(6 * 5 + 2x * 5) = -4(5 + -2x)
(30 + 10x) = -4(5 + -2x)
30 + 10x = (5 * -4 + -2x * -4)
30 + 10x = (-20 + 8x)

Solving
30 + 10x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + 10x + -8x = -20 + 8x + -8x

Combine like terms: 10x + -8x = 2x
30 + 2x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + 2x = -20 + 0
30 + 2x = -20

Add '-30' to each side of the equation.
30 + -30 + 2x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = -20 + -30
2x = -20 + -30

Combine like terms: -20 + -30 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25

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