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

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


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

Reorder the terms:
2(5 + 4x) = 3(x + 4)
(5 * 2 + 4x * 2) = 3(x + 4)
(10 + 8x) = 3(x + 4)

Reorder the terms:
10 + 8x = 3(4 + x)
10 + 8x = (4 * 3 + x * 3)
10 + 8x = (12 + 3x)

Solving
10 + 8x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 8x + -3x = 12 + 3x + -3x

Combine like terms: 8x + -3x = 5x
10 + 5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 5x = 12 + 0
10 + 5x = 12

Add '-10' to each side of the equation.
10 + -10 + 5x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 12 + -10
5x = 12 + -10

Combine like terms: 12 + -10 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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