5(3x+2)=2(9x+4)

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Solution for 5(3x+2)=2(9x+4) equation:


Simplifying
5(3x + 2) = 2(9x + 4)

Reorder the terms:
5(2 + 3x) = 2(9x + 4)
(2 * 5 + 3x * 5) = 2(9x + 4)
(10 + 15x) = 2(9x + 4)

Reorder the terms:
10 + 15x = 2(4 + 9x)
10 + 15x = (4 * 2 + 9x * 2)
10 + 15x = (8 + 18x)

Solving
10 + 15x = 8 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
10 + 15x + -18x = 8 + 18x + -18x

Combine like terms: 15x + -18x = -3x
10 + -3x = 8 + 18x + -18x

Combine like terms: 18x + -18x = 0
10 + -3x = 8 + 0
10 + -3x = 8

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

Combine like terms: 10 + -10 = 0
0 + -3x = 8 + -10
-3x = 8 + -10

Combine like terms: 8 + -10 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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