3(2-7x)=1-2(9x+5)

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Solution for 3(2-7x)=1-2(9x+5) equation:


Simplifying
3(2 + -7x) = 1 + -2(9x + 5)
(2 * 3 + -7x * 3) = 1 + -2(9x + 5)
(6 + -21x) = 1 + -2(9x + 5)

Reorder the terms:
6 + -21x = 1 + -2(5 + 9x)
6 + -21x = 1 + (5 * -2 + 9x * -2)
6 + -21x = 1 + (-10 + -18x)

Combine like terms: 1 + -10 = -9
6 + -21x = -9 + -18x

Solving
6 + -21x = -9 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
6 + -21x + 18x = -9 + -18x + 18x

Combine like terms: -21x + 18x = -3x
6 + -3x = -9 + -18x + 18x

Combine like terms: -18x + 18x = 0
6 + -3x = -9 + 0
6 + -3x = -9

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -9 + -6
-3x = -9 + -6

Combine like terms: -9 + -6 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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