5(4x+6)=3(2x+17)

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Solution for 5(4x+6)=3(2x+17) equation:


Simplifying
5(4x + 6) = 3(2x + 17)

Reorder the terms:
5(6 + 4x) = 3(2x + 17)
(6 * 5 + 4x * 5) = 3(2x + 17)
(30 + 20x) = 3(2x + 17)

Reorder the terms:
30 + 20x = 3(17 + 2x)
30 + 20x = (17 * 3 + 2x * 3)
30 + 20x = (51 + 6x)

Solving
30 + 20x = 51 + 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.
30 + 20x + -6x = 51 + 6x + -6x

Combine like terms: 20x + -6x = 14x
30 + 14x = 51 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + 14x = 51 + 0
30 + 14x = 51

Add '-30' to each side of the equation.
30 + -30 + 14x = 51 + -30

Combine like terms: 30 + -30 = 0
0 + 14x = 51 + -30
14x = 51 + -30

Combine like terms: 51 + -30 = 21
14x = 21

Divide each side by '14'.
x = 1.5

Simplifying
x = 1.5

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