5(4x+5)=2(5x-3)

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Solution for 5(4x+5)=2(5x-3) equation:


Simplifying
5(4x + 5) = 2(5x + -3)

Reorder the terms:
5(5 + 4x) = 2(5x + -3)
(5 * 5 + 4x * 5) = 2(5x + -3)
(25 + 20x) = 2(5x + -3)

Reorder the terms:
25 + 20x = 2(-3 + 5x)
25 + 20x = (-3 * 2 + 5x * 2)
25 + 20x = (-6 + 10x)

Solving
25 + 20x = -6 + 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.
25 + 20x + -10x = -6 + 10x + -10x

Combine like terms: 20x + -10x = 10x
25 + 10x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + 10x = -6 + 0
25 + 10x = -6

Add '-25' to each side of the equation.
25 + -25 + 10x = -6 + -25

Combine like terms: 25 + -25 = 0
0 + 10x = -6 + -25
10x = -6 + -25

Combine like terms: -6 + -25 = -31
10x = -31

Divide each side by '10'.
x = -3.1

Simplifying
x = -3.1

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