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

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


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

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

Reorder the terms:
8 + 9x + -4x = x + 20 + -3x

Combine like terms: 9x + -4x = 5x
8 + 5x = x + 20 + -3x

Reorder the terms:
8 + 5x = 20 + x + -3x

Combine like terms: x + -3x = -2x
8 + 5x = 20 + -2x

Solving
8 + 5x = 20 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 5x + 2x = 20 + -2x + 2x

Combine like terms: 5x + 2x = 7x
8 + 7x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 7x = 20 + 0
8 + 7x = 20

Add '-8' to each side of the equation.
8 + -8 + 7x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 20 + -8
7x = 20 + -8

Combine like terms: 20 + -8 = 12
7x = 12

Divide each side by '7'.
x = 1.714285714

Simplifying
x = 1.714285714

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