3(4x+3)+21=5x+2

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Solution for 3(4x+3)+21=5x+2 equation: 


Simplifying
3(4x + 3) + 21 = 5x + 2

Reorder the terms:
3(3 + 4x) + 21 = 5x + 2
(3 * 3 + 4x * 3) + 21 = 5x + 2
(9 + 12x) + 21 = 5x + 2

Reorder the terms:
9 + 21 + 12x = 5x + 2

Combine like terms: 9 + 21 = 30
30 + 12x = 5x + 2

Reorder the terms:
30 + 12x = 2 + 5x

Solving
30 + 12x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 12x + -5x = 2 + 5x + -5x

Combine like terms: 12x + -5x = 7x
30 + 7x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 7x = 2 + 0
30 + 7x = 2

Add '-30' to each side of the equation.
30 + -30 + 7x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 7x = 2 + -30
7x = 2 + -30

Combine like terms: 2 + -30 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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