2(4x+3)=3(2x+10)

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Solution for 2(4x+3)=3(2x+10) equation:


Simplifying
2(4x + 3) = 3(2x + 10)
Reorder the terms:
2(3 + 4x) = 3(2x + 10)
(3 * 2 + 4x * 2) = 3(2x + 10)
(6 + 8x) = 3(2x + 10)
Reorder the terms:
6 + 8x = 3(10 + 2x)
6 + 8x = (10 * 3 + 2x * 3)
6 + 8x = (30 + 6x)
Solving
6 + 8x = 30 + 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.
6 + 8x + -6x = 30 + 6x + -6x
Combine like terms: 8x + -6x = 2x
6 + 2x = 30 + 6x + -6x
Combine like terms: 6x + -6x = 0
6 + 2x = 30 + 0
6 + 2x = 30
Add '-6' to each side of the equation.
6 + -6 + 2x = 30 + -6
Combine like terms: 6 + -6 = 0
0 + 2x = 30 + -6
2x = 30 + -6
Combine like terms: 30 + -6 = 24
2x = 24
Divide each side by '2'.
x = 12
Simplifying
x = 12

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