3(4x+5)+4=3(5x-6)

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Solution for 3(4x+5)+4=3(5x-6) equation:


Simplifying
3(4x + 5) + 4 = 3(5x + -6)

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

Reorder the terms:
15 + 4 + 12x = 3(5x + -6)

Combine like terms: 15 + 4 = 19
19 + 12x = 3(5x + -6)

Reorder the terms:
19 + 12x = 3(-6 + 5x)
19 + 12x = (-6 * 3 + 5x * 3)
19 + 12x = (-18 + 15x)

Solving
19 + 12x = -18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
19 + 12x + -15x = -18 + 15x + -15x

Combine like terms: 12x + -15x = -3x
19 + -3x = -18 + 15x + -15x

Combine like terms: 15x + -15x = 0
19 + -3x = -18 + 0
19 + -3x = -18

Add '-19' to each side of the equation.
19 + -19 + -3x = -18 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = -18 + -19
-3x = -18 + -19

Combine like terms: -18 + -19 = -37
-3x = -37

Divide each side by '-3'.
x = 12.33333333

Simplifying
x = 12.33333333

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