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

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


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

Reorder the terms:
2(5 + 3x) = 4(x + 5)
(5 * 2 + 3x * 2) = 4(x + 5)
(10 + 6x) = 4(x + 5)

Reorder the terms:
10 + 6x = 4(5 + x)
10 + 6x = (5 * 4 + x * 4)
10 + 6x = (20 + 4x)

Solving
10 + 6x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 6x + -4x = 20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
10 + 2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 2x = 20 + 0
10 + 2x = 20

Add '-10' to each side of the equation.
10 + -10 + 2x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 20 + -10
2x = 20 + -10

Combine like terms: 20 + -10 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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