3(x+2)-4(2x+1)=6x+20

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Solution for 3(x+2)-4(2x+1)=6x+20 equation:


Simplifying
3(x + 2) + -4(2x + 1) = 6x + 20

Reorder the terms:
3(2 + x) + -4(2x + 1) = 6x + 20
(2 * 3 + x * 3) + -4(2x + 1) = 6x + 20
(6 + 3x) + -4(2x + 1) = 6x + 20

Reorder the terms:
6 + 3x + -4(1 + 2x) = 6x + 20
6 + 3x + (1 * -4 + 2x * -4) = 6x + 20
6 + 3x + (-4 + -8x) = 6x + 20

Reorder the terms:
6 + -4 + 3x + -8x = 6x + 20

Combine like terms: 6 + -4 = 2
2 + 3x + -8x = 6x + 20

Combine like terms: 3x + -8x = -5x
2 + -5x = 6x + 20

Reorder the terms:
2 + -5x = 20 + 6x

Solving
2 + -5x = 20 + 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.
2 + -5x + -6x = 20 + 6x + -6x

Combine like terms: -5x + -6x = -11x
2 + -11x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -11x = 20 + 0
2 + -11x = 20

Add '-2' to each side of the equation.
2 + -2 + -11x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = 20 + -2
-11x = 20 + -2

Combine like terms: 20 + -2 = 18
-11x = 18

Divide each side by '-11'.
x = -1.636363636

Simplifying
x = -1.636363636

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