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

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


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

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

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

Solving
10 + 2x = -5 + 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 + 2x + -10x = -5 + 10x + -10x

Combine like terms: 2x + -10x = -8x
10 + -8x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -8x = -5 + 0
10 + -8x = -5

Add '-10' to each side of the equation.
10 + -10 + -8x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -5 + -10
-8x = -5 + -10

Combine like terms: -5 + -10 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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