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

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


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

Reorder the terms:
-3(2 + 3x) + -2(1 + -8x) = 3(6 + 2x)
(2 * -3 + 3x * -3) + -2(1 + -8x) = 3(6 + 2x)
(-6 + -9x) + -2(1 + -8x) = 3(6 + 2x)
-6 + -9x + (1 * -2 + -8x * -2) = 3(6 + 2x)
-6 + -9x + (-2 + 16x) = 3(6 + 2x)

Reorder the terms:
-6 + -2 + -9x + 16x = 3(6 + 2x)

Combine like terms: -6 + -2 = -8
-8 + -9x + 16x = 3(6 + 2x)

Combine like terms: -9x + 16x = 7x
-8 + 7x = 3(6 + 2x)
-8 + 7x = (6 * 3 + 2x * 3)
-8 + 7x = (18 + 6x)

Solving
-8 + 7x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 7x + -6x = 18 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-8 + 1x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 1x = 18 + 0
-8 + 1x = 18

Add '8' to each side of the equation.
-8 + 8 + 1x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 18 + 8
1x = 18 + 8

Combine like terms: 18 + 8 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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