3x-2(4x+9)+4(x+2)=-20

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


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

Reorder the terms:
3x + -2(9 + 4x) + 4(x + 2) = -20
3x + (9 * -2 + 4x * -2) + 4(x + 2) = -20
3x + (-18 + -8x) + 4(x + 2) = -20

Reorder the terms:
3x + -18 + -8x + 4(2 + x) = -20
3x + -18 + -8x + (2 * 4 + x * 4) = -20
3x + -18 + -8x + (8 + 4x) = -20

Reorder the terms:
-18 + 8 + 3x + -8x + 4x = -20

Combine like terms: -18 + 8 = -10
-10 + 3x + -8x + 4x = -20

Combine like terms: 3x + -8x = -5x
-10 + -5x + 4x = -20

Combine like terms: -5x + 4x = -1x
-10 + -1x = -20

Solving
-10 + -1x = -20

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -1x = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -20 + 10
-1x = -20 + 10

Combine like terms: -20 + 10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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