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

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


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

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

Reorder the terms:
8 + 9x + -4x = x + 20

Combine like terms: 9x + -4x = 5x
8 + 5x = x + 20

Reorder the terms:
8 + 5x = 20 + x

Solving
8 + 5x = 20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 5x + -1x = 20 + x + -1x

Combine like terms: 5x + -1x = 4x
8 + 4x = 20 + x + -1x

Combine like terms: x + -1x = 0
8 + 4x = 20 + 0
8 + 4x = 20

Add '-8' to each side of the equation.
8 + -8 + 4x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 20 + -8
4x = 20 + -8

Combine like terms: 20 + -8 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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