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

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


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

Reorder the terms:
10 + -2(9 + 4x) = 20 + 12x
10 + (9 * -2 + 4x * -2) = 20 + 12x
10 + (-18 + -8x) = 20 + 12x

Combine like terms: 10 + -18 = -8
-8 + -8x = 20 + 12x

Solving
-8 + -8x = 20 + 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.
-8 + -8x + -12x = 20 + 12x + -12x

Combine like terms: -8x + -12x = -20x
-8 + -20x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -20x = 20 + 0
-8 + -20x = 20

Add '8' to each side of the equation.
-8 + 8 + -20x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + -20x = 20 + 8
-20x = 20 + 8

Combine like terms: 20 + 8 = 28
-20x = 28

Divide each side by '-20'.
x = -1.4

Simplifying
x = -1.4

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