2(3x+7)+4(3x+2)=6(5x+9)+3

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Solution for 2(3x+7)+4(3x+2)=6(5x+9)+3 equation:


Simplifying
2(3x + 7) + 4(3x + 2) = 6(5x + 9) + 3

Reorder the terms:
2(7 + 3x) + 4(3x + 2) = 6(5x + 9) + 3
(7 * 2 + 3x * 2) + 4(3x + 2) = 6(5x + 9) + 3
(14 + 6x) + 4(3x + 2) = 6(5x + 9) + 3

Reorder the terms:
14 + 6x + 4(2 + 3x) = 6(5x + 9) + 3
14 + 6x + (2 * 4 + 3x * 4) = 6(5x + 9) + 3
14 + 6x + (8 + 12x) = 6(5x + 9) + 3

Reorder the terms:
14 + 8 + 6x + 12x = 6(5x + 9) + 3

Combine like terms: 14 + 8 = 22
22 + 6x + 12x = 6(5x + 9) + 3

Combine like terms: 6x + 12x = 18x
22 + 18x = 6(5x + 9) + 3

Reorder the terms:
22 + 18x = 6(9 + 5x) + 3
22 + 18x = (9 * 6 + 5x * 6) + 3
22 + 18x = (54 + 30x) + 3

Reorder the terms:
22 + 18x = 54 + 3 + 30x

Combine like terms: 54 + 3 = 57
22 + 18x = 57 + 30x

Solving
22 + 18x = 57 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
22 + 18x + -30x = 57 + 30x + -30x

Combine like terms: 18x + -30x = -12x
22 + -12x = 57 + 30x + -30x

Combine like terms: 30x + -30x = 0
22 + -12x = 57 + 0
22 + -12x = 57

Add '-22' to each side of the equation.
22 + -22 + -12x = 57 + -22

Combine like terms: 22 + -22 = 0
0 + -12x = 57 + -22
-12x = 57 + -22

Combine like terms: 57 + -22 = 35
-12x = 35

Divide each side by '-12'.
x = -2.916666667

Simplifying
x = -2.916666667

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