3(4x+1)+2(3x+3)=4x+37

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Solution for 3(4x+1)+2(3x+3)=4x+37 equation: 


Simplifying
3(4x + 1) + 2(3x + 3) = 4x + 37

Reorder the terms:
3(1 + 4x) + 2(3x + 3) = 4x + 37
(1 * 3 + 4x * 3) + 2(3x + 3) = 4x + 37
(3 + 12x) + 2(3x + 3) = 4x + 37

Reorder the terms:
3 + 12x + 2(3 + 3x) = 4x + 37
3 + 12x + (3 * 2 + 3x * 2) = 4x + 37
3 + 12x + (6 + 6x) = 4x + 37

Reorder the terms:
3 + 6 + 12x + 6x = 4x + 37

Combine like terms: 3 + 6 = 9
9 + 12x + 6x = 4x + 37

Combine like terms: 12x + 6x = 18x
9 + 18x = 4x + 37

Reorder the terms:
9 + 18x = 37 + 4x

Solving
9 + 18x = 37 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 18x + -4x = 37 + 4x + -4x

Combine like terms: 18x + -4x = 14x
9 + 14x = 37 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 14x = 37 + 0
9 + 14x = 37

Add '-9' to each side of the equation.
9 + -9 + 14x = 37 + -9

Combine like terms: 9 + -9 = 0
0 + 14x = 37 + -9
14x = 37 + -9

Combine like terms: 37 + -9 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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