-3(7x+6)-2(2-17x)=3(6+4x)

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Solution for -3(7x+6)-2(2-17x)=3(6+4x) equation:


Simplifying
-3(7x + 6) + -2(2 + -17x) = 3(6 + 4x)

Reorder the terms:
-3(6 + 7x) + -2(2 + -17x) = 3(6 + 4x)
(6 * -3 + 7x * -3) + -2(2 + -17x) = 3(6 + 4x)
(-18 + -21x) + -2(2 + -17x) = 3(6 + 4x)
-18 + -21x + (2 * -2 + -17x * -2) = 3(6 + 4x)
-18 + -21x + (-4 + 34x) = 3(6 + 4x)

Reorder the terms:
-18 + -4 + -21x + 34x = 3(6 + 4x)

Combine like terms: -18 + -4 = -22
-22 + -21x + 34x = 3(6 + 4x)

Combine like terms: -21x + 34x = 13x
-22 + 13x = 3(6 + 4x)
-22 + 13x = (6 * 3 + 4x * 3)
-22 + 13x = (18 + 12x)

Solving
-22 + 13x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-22 + 13x + -12x = 18 + 12x + -12x

Combine like terms: 13x + -12x = 1x
-22 + 1x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-22 + 1x = 18 + 0
-22 + 1x = 18

Add '22' to each side of the equation.
-22 + 22 + 1x = 18 + 22

Combine like terms: -22 + 22 = 0
0 + 1x = 18 + 22
1x = 18 + 22

Combine like terms: 18 + 22 = 40
1x = 40

Divide each side by '1'.
x = 40

Simplifying
x = 40

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