3(2x+5)=5(2x+8)

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Solution for 3(2x+5)=5(2x+8) equation:


Simplifying
3(2x + 5) = 5(2x + 8)

Reorder the terms:
3(5 + 2x) = 5(2x + 8)
(5 * 3 + 2x * 3) = 5(2x + 8)
(15 + 6x) = 5(2x + 8)

Reorder the terms:
15 + 6x = 5(8 + 2x)
15 + 6x = (8 * 5 + 2x * 5)
15 + 6x = (40 + 10x)

Solving
15 + 6x = 40 + 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.
15 + 6x + -10x = 40 + 10x + -10x

Combine like terms: 6x + -10x = -4x
15 + -4x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -4x = 40 + 0
15 + -4x = 40

Add '-15' to each side of the equation.
15 + -15 + -4x = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 40 + -15
-4x = 40 + -15

Combine like terms: 40 + -15 = 25
-4x = 25

Divide each side by '-4'.
x = -6.25

Simplifying
x = -6.25

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