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

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


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

Reorder the terms:
5(5 + 2x) = 2(3x + 4)
(5 * 5 + 2x * 5) = 2(3x + 4)
(25 + 10x) = 2(3x + 4)

Reorder the terms:
25 + 10x = 2(4 + 3x)
25 + 10x = (4 * 2 + 3x * 2)
25 + 10x = (8 + 6x)

Solving
25 + 10x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
25 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x
25 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
25 + 4x = 8 + 0
25 + 4x = 8

Add '-25' to each side of the equation.
25 + -25 + 4x = 8 + -25

Combine like terms: 25 + -25 = 0
0 + 4x = 8 + -25
4x = 8 + -25

Combine like terms: 8 + -25 = -17
4x = -17

Divide each side by '4'.
x = -4.25

Simplifying
x = -4.25

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