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

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


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

Reorder the terms:
2x + 4(-9 + x) = 3x + -20
2x + (-9 * 4 + x * 4) = 3x + -20
2x + (-36 + 4x) = 3x + -20

Reorder the terms:
-36 + 2x + 4x = 3x + -20

Combine like terms: 2x + 4x = 6x
-36 + 6x = 3x + -20

Reorder the terms:
-36 + 6x = -20 + 3x

Solving
-36 + 6x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 6x + -3x = -20 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-36 + 3x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 3x = -20 + 0
-36 + 3x = -20

Add '36' to each side of the equation.
-36 + 36 + 3x = -20 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = -20 + 36
3x = -20 + 36

Combine like terms: -20 + 36 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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