3(4x+5)+7=2(3x+23)

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Solution for 3(4x+5)+7=2(3x+23) equation:


Simplifying
3(4x + 5) + 7 = 2(3x + 23)

Reorder the terms:
3(5 + 4x) + 7 = 2(3x + 23)
(5 * 3 + 4x * 3) + 7 = 2(3x + 23)
(15 + 12x) + 7 = 2(3x + 23)

Reorder the terms:
15 + 7 + 12x = 2(3x + 23)

Combine like terms: 15 + 7 = 22
22 + 12x = 2(3x + 23)

Reorder the terms:
22 + 12x = 2(23 + 3x)
22 + 12x = (23 * 2 + 3x * 2)
22 + 12x = (46 + 6x)

Solving
22 + 12x = 46 + 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.
22 + 12x + -6x = 46 + 6x + -6x

Combine like terms: 12x + -6x = 6x
22 + 6x = 46 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + 6x = 46 + 0
22 + 6x = 46

Add '-22' to each side of the equation.
22 + -22 + 6x = 46 + -22

Combine like terms: 22 + -22 = 0
0 + 6x = 46 + -22
6x = 46 + -22

Combine like terms: 46 + -22 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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