9x-5(x-2)=x+20

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Solution for 9x-5(x-2)=x+20 equation:


Simplifying
9x + -5(x + -2) = x + 20

Reorder the terms:
9x + -5(-2 + x) = x + 20
9x + (-2 * -5 + x * -5) = x + 20
9x + (10 + -5x) = x + 20

Reorder the terms:
10 + 9x + -5x = x + 20

Combine like terms: 9x + -5x = 4x
10 + 4x = x + 20

Reorder the terms:
10 + 4x = 20 + x

Solving
10 + 4x = 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.
10 + 4x + -1x = 20 + x + -1x

Combine like terms: 4x + -1x = 3x
10 + 3x = 20 + x + -1x

Combine like terms: x + -1x = 0
10 + 3x = 20 + 0
10 + 3x = 20

Add '-10' to each side of the equation.
10 + -10 + 3x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 20 + -10
3x = 20 + -10

Combine like terms: 20 + -10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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