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

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


Simplifying
3(5 + 2x) = 4(2 + 3x)
(5 * 3 + 2x * 3) = 4(2 + 3x)
(15 + 6x) = 4(2 + 3x)
15 + 6x = (2 * 4 + 3x * 4)
15 + 6x = (8 + 12x)

Solving
15 + 6x = 8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + 6x + -12x = 8 + 12x + -12x

Combine like terms: 6x + -12x = -6x
15 + -6x = 8 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -6x = 8 + 0
15 + -6x = 8

Add '-15' to each side of the equation.
15 + -15 + -6x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 8 + -15
-6x = 8 + -15

Combine like terms: 8 + -15 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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