10(x-2)+5(x+2)=-10x

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Solution for 10(x-2)+5(x+2)=-10x equation:


Simplifying
10(x + -2) + 5(x + 2) = -10x

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

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

Reorder the terms:
-20 + 10 + 10x + 5x = -10x

Combine like terms: -20 + 10 = -10
-10 + 10x + 5x = -10x

Combine like terms: 10x + 5x = 15x
-10 + 15x = -10x

Solving
-10 + 15x = -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.
-10 + 15x + 10x = -10x + 10x

Combine like terms: 15x + 10x = 25x
-10 + 25x = -10x + 10x

Combine like terms: -10x + 10x = 0
-10 + 25x = 0

Add '10' to each side of the equation.
-10 + 10 + 25x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 25x = 0 + 10
25x = 0 + 10

Combine like terms: 0 + 10 = 10
25x = 10

Divide each side by '25'.
x = 0.4

Simplifying
x = 0.4

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