6(4x+3)-20+2(x+9)=10(x-2)+12x

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Solution for 6(4x+3)-20+2(x+9)=10(x-2)+12x equation:


Simplifying
6(4x + 3) + -20 + 2(x + 9) = 10(x + -2) + 12x

Reorder the terms:
6(3 + 4x) + -20 + 2(x + 9) = 10(x + -2) + 12x
(3 * 6 + 4x * 6) + -20 + 2(x + 9) = 10(x + -2) + 12x
(18 + 24x) + -20 + 2(x + 9) = 10(x + -2) + 12x

Reorder the terms:
18 + 24x + -20 + 2(9 + x) = 10(x + -2) + 12x
18 + 24x + -20 + (9 * 2 + x * 2) = 10(x + -2) + 12x
18 + 24x + -20 + (18 + 2x) = 10(x + -2) + 12x

Reorder the terms:
18 + -20 + 18 + 24x + 2x = 10(x + -2) + 12x

Combine like terms: 18 + -20 = -2
-2 + 18 + 24x + 2x = 10(x + -2) + 12x

Combine like terms: -2 + 18 = 16
16 + 24x + 2x = 10(x + -2) + 12x

Combine like terms: 24x + 2x = 26x
16 + 26x = 10(x + -2) + 12x

Reorder the terms:
16 + 26x = 10(-2 + x) + 12x
16 + 26x = (-2 * 10 + x * 10) + 12x
16 + 26x = (-20 + 10x) + 12x

Combine like terms: 10x + 12x = 22x
16 + 26x = -20 + 22x

Solving
16 + 26x = -20 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
16 + 26x + -22x = -20 + 22x + -22x

Combine like terms: 26x + -22x = 4x
16 + 4x = -20 + 22x + -22x

Combine like terms: 22x + -22x = 0
16 + 4x = -20 + 0
16 + 4x = -20

Add '-16' to each side of the equation.
16 + -16 + 4x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = -20 + -16
4x = -20 + -16

Combine like terms: -20 + -16 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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