2(5x+1)=5x-9

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Solution for 2(5x+1)=5x-9 equation:


Simplifying
2(5x + 1) = 5x + -9

Reorder the terms:
2(1 + 5x) = 5x + -9
(1 * 2 + 5x * 2) = 5x + -9
(2 + 10x) = 5x + -9

Reorder the terms:
2 + 10x = -9 + 5x

Solving
2 + 10x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 10x + -5x = -9 + 5x + -5x

Combine like terms: 10x + -5x = 5x
2 + 5x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 5x = -9 + 0
2 + 5x = -9

Add '-2' to each side of the equation.
2 + -2 + 5x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -9 + -2
5x = -9 + -2

Combine like terms: -9 + -2 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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