2(3x-7)+4(3x+2)=6

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


Simplifying
2(3x + -7) + 4(3x + 2) = 6

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

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

Reorder the terms:
-14 + 8 + 6x + 12x = 6

Combine like terms: -14 + 8 = -6
-6 + 6x + 12x = 6

Combine like terms: 6x + 12x = 18x
-6 + 18x = 6

Solving
-6 + 18x = 6

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 18x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 18x = 6 + 6
18x = 6 + 6

Combine like terms: 6 + 6 = 12
18x = 12

Divide each side by '18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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