3(4x+5)=2(3x-1)+5

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Solution for 3(4x+5)=2(3x-1)+5 equation:


Simplifying
3(4x + 5) = 2(3x + -1) + 5

Reorder the terms:
3(5 + 4x) = 2(3x + -1) + 5
(5 * 3 + 4x * 3) = 2(3x + -1) + 5
(15 + 12x) = 2(3x + -1) + 5

Reorder the terms:
15 + 12x = 2(-1 + 3x) + 5
15 + 12x = (-1 * 2 + 3x * 2) + 5
15 + 12x = (-2 + 6x) + 5

Reorder the terms:
15 + 12x = -2 + 5 + 6x

Combine like terms: -2 + 5 = 3
15 + 12x = 3 + 6x

Solving
15 + 12x = 3 + 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.
15 + 12x + -6x = 3 + 6x + -6x

Combine like terms: 12x + -6x = 6x
15 + 6x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 6x = 3 + 0
15 + 6x = 3

Add '-15' to each side of the equation.
15 + -15 + 6x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 3 + -15
6x = 3 + -15

Combine like terms: 3 + -15 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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