4(x+5)=-4(x-10)

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Solution for 4(x+5)=-4(x-10) equation:


Simplifying
4(x + 5) = -4(x + -10)

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

Reorder the terms:
20 + 4x = -4(-10 + x)
20 + 4x = (-10 * -4 + x * -4)
20 + 4x = (40 + -4x)

Solving
20 + 4x = 40 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
20 + 4x + 4x = 40 + -4x + 4x

Combine like terms: 4x + 4x = 8x
20 + 8x = 40 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 8x = 40 + 0
20 + 8x = 40

Add '-20' to each side of the equation.
20 + -20 + 8x = 40 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 40 + -20
8x = 40 + -20

Combine like terms: 40 + -20 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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