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

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


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

Reorder the terms:
3(5 + 4x) = 2(3 + 5x)
(5 * 3 + 4x * 3) = 2(3 + 5x)
(15 + 12x) = 2(3 + 5x)
15 + 12x = (3 * 2 + 5x * 2)
15 + 12x = (6 + 10x)

Solving
15 + 12x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15 + 12x + -10x = 6 + 10x + -10x

Combine like terms: 12x + -10x = 2x
15 + 2x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + 2x = 6 + 0
15 + 2x = 6

Add '-15' to each side of the equation.
15 + -15 + 2x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 6 + -15
2x = 6 + -15

Combine like terms: 6 + -15 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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