2(2x+5)=-5(2x-3)

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Solution for 2(2x+5)=-5(2x-3) equation:


Simplifying
2(2x + 5) = -5(2x + -3)

Reorder the terms:
2(5 + 2x) = -5(2x + -3)
(5 * 2 + 2x * 2) = -5(2x + -3)
(10 + 4x) = -5(2x + -3)

Reorder the terms:
10 + 4x = -5(-3 + 2x)
10 + 4x = (-3 * -5 + 2x * -5)
10 + 4x = (15 + -10x)

Solving
10 + 4x = 15 + -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 + 4x + 10x = 15 + -10x + 10x

Combine like terms: 4x + 10x = 14x
10 + 14x = 15 + -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 14x = 15 + 0
10 + 14x = 15

Add '-10' to each side of the equation.
10 + -10 + 14x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 15 + -10
14x = 15 + -10

Combine like terms: 15 + -10 = 5
14x = 5

Divide each side by '14'.
x = 0.3571428571

Simplifying
x = 0.3571428571

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