3(7x-1)-2(8x+3)=6

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Solution for 3(7x-1)-2(8x+3)=6 equation:


Simplifying
3(7x + -1) + -2(8x + 3) = 6

Reorder the terms:
3(-1 + 7x) + -2(8x + 3) = 6
(-1 * 3 + 7x * 3) + -2(8x + 3) = 6
(-3 + 21x) + -2(8x + 3) = 6

Reorder the terms:
-3 + 21x + -2(3 + 8x) = 6
-3 + 21x + (3 * -2 + 8x * -2) = 6
-3 + 21x + (-6 + -16x) = 6

Reorder the terms:
-3 + -6 + 21x + -16x = 6

Combine like terms: -3 + -6 = -9
-9 + 21x + -16x = 6

Combine like terms: 21x + -16x = 5x
-9 + 5x = 6

Solving
-9 + 5x = 6

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 6 + 9
5x = 6 + 9

Combine like terms: 6 + 9 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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