9x-4(x-5)=3(x-2)+4

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Solution for 9x-4(x-5)=3(x-2)+4 equation: 


Simplifying
9x + -4(x + -5) = 3(x + -2) + 4

Reorder the terms:
9x + -4(-5 + x) = 3(x + -2) + 4
9x + (-5 * -4 + x * -4) = 3(x + -2) + 4
9x + (20 + -4x) = 3(x + -2) + 4

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

Combine like terms: 9x + -4x = 5x
20 + 5x = 3(x + -2) + 4

Reorder the terms:
20 + 5x = 3(-2 + x) + 4
20 + 5x = (-2 * 3 + x * 3) + 4
20 + 5x = (-6 + 3x) + 4

Reorder the terms:
20 + 5x = -6 + 4 + 3x

Combine like terms: -6 + 4 = -2
20 + 5x = -2 + 3x

Solving
20 + 5x = -2 + 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.
20 + 5x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
20 + 2x = -2 + 0
20 + 2x = -2

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

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

Combine like terms: -2 + -20 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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