9x-4(x-5)=2(x-4)2

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Solution for 9x-4(x-5)=2(x-4)2 equation:


Simplifying
9x + -4(x + -5) = 2(x + -4) * 2

Reorder the terms:
9x + -4(-5 + x) = 2(x + -4) * 2
9x + (-5 * -4 + x * -4) = 2(x + -4) * 2
9x + (20 + -4x) = 2(x + -4) * 2

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

Combine like terms: 9x + -4x = 5x
20 + 5x = 2(x + -4) * 2

Reorder the terms:
20 + 5x = 2(-4 + x) * 2

Reorder the terms for easier multiplication:
20 + 5x = 2 * 2(-4 + x)

Multiply 2 * 2
20 + 5x = 4(-4 + x)
20 + 5x = (-4 * 4 + x * 4)
20 + 5x = (-16 + 4x)

Solving
20 + 5x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + 5x + -4x = -16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
20 + 1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 1x = -16 + 0
20 + 1x = -16

Add '-20' to each side of the equation.
20 + -20 + 1x = -16 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -16 + -20
1x = -16 + -20

Combine like terms: -16 + -20 = -36
1x = -36

Divide each side by '1'.
x = -36

Simplifying
x = -36

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