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

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


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

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

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

Solving
20 + 4x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
20 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 2x = -10 + 0
20 + 2x = -10

Add '-20' to each side of the equation.
20 + -20 + 2x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -10 + -20
2x = -10 + -20

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

Divide each side by '2'.
x = -15

Simplifying
x = -15

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